λ
Ratio Atlas
Atlas › Integer Profiles › Node 29,631,238

29,631,238

2 × 7 × 13 × 17 × 61 × 157
Deficient Even Composite

29,631,238 factors as 2 × 7 × 13 × 17 × 61 × 157. Its 64 positive divisors give a proper-divisor sum of 29,614,970, so this integer is deficient. The Collatz stopping time is 175 steps.

Prime Factor Structure

Factorization String 2 × 7 × 13 × 17 × 61 × 157
Distinct Prime Factors 6
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 59,246,208
Proper Divisor Sum 29,614,970
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #29631229 ← → #29631247

Radix Representation

Decimal 29631238
Binary 1110001000010001100000110 (25 bits)
Octal 0o161021406
Hexadecimal 0x1C42306

Divisor Catalog (60 of 64)

1 2 7 13 14 17 26 34 61 91 119 122 157 182 221 238 314 427 442 793 854 1,037 1,099 1,547 1,586 2,041 2,074 2,198 2,669 3,094 4,082 5,338 5,551 7,259 9,577 11,102 13,481 14,287 14,518 18,683 19,154 26,962 28,574 34,697 37,366 67,039 69,394 94,367 124,501 134,078 162,809 188,734 242,879 249,002 325,618 485,758 871,507 1,139,663 1,743,014 2,116,517

Collatz Trajectory (175 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

29,631,238 14,815,619 44,446,858 22,223,429 66,670,288 33,335,144 16,667,572 8,333,786 4,166,893 12,500,680 6,250,340 3,125,170 1,562,585 4,687,756 2,343,878 1,171,939 3,515,818 1,757,909 5,273,728 2,636,864 1,318,432 659,216 329,608 164,804 82,402 41,201 123,604 61,802 30,901 92,704 46,352 23,176 11,588 5,794 2,897 8,692 4,346 2,173 6,520 3,260 1,630 815 2,446 1,223 3,670 1,835 5,506 2,753 8,260 4,130 2,065 6,196 3,098 1,549 4,648 2,324 1,162 581 1,744 872

More profiles

Browse other published profiles and their separate link collections.

Profile #8,342,168 Profile #1,146,956 Profile #9,712,347 Profile #6,573,969 Profile #965,653 Profile #4,620,983 Profile #853,259 Profile #1,288,150
← Previous Integer #29,631,237 Browse Full Index Next Integer #29,631,239 →