λ
Ratio Atlas
Atlas › Integer Profiles › Node 29,023,085

29,023,085

5 × 7 × 13 × 227 × 281
Deficient Odd Composite

29,023,085 factors as 5 × 7 × 13 × 227 × 281. Its 32 positive divisors give a proper-divisor sum of 14,183,827, so this integer is deficient. The Collatz stopping time is 118 steps.

Prime Factor Structure

Factorization String 5 × 7 × 13 × 227 × 281
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 43,206,912
Proper Divisor Sum 14,183,827
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #29023069 ← → #29023087

Radix Representation

Decimal 29023085
Binary 1101110101101101101101101 (25 bits)
Octal 0o156555555
Hexadecimal 0x1BADB6D

Divisor Catalog (32)

1 5 7 13 35 65 91 227 281 455 1,135 1,405 1,589 1,967 2,951 3,653 7,945 9,835 14,755 18,265 20,657 25,571 63,787 103,285 127,855 318,935 446,509 829,231 2,232,545 4,146,155 5,804,617 29,023,085

Collatz Trajectory (118 steps to reach 1)

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

29,023,085 87,069,256 43,534,628 21,767,314 10,883,657 32,650,972 16,325,486 8,162,743 24,488,230 12,244,115 36,732,346 18,366,173 55,098,520 27,549,260 13,774,630 6,887,315 20,661,946 10,330,973 30,992,920 15,496,460 7,748,230 3,874,115 11,622,346 5,811,173 17,433,520 8,716,760 4,358,380 2,179,190 1,089,595 3,268,786 1,634,393 4,903,180 2,451,590 1,225,795 3,677,386 1,838,693 5,516,080 2,758,040 1,379,020 689,510 344,755 1,034,266 517,133 1,551,400 775,700 387,850 193,925 581,776 290,888 145,444 72,722 36,361 109,084 54,542 27,271 81,814 40,907 122,722 61,361 184,084

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #29,023,084 Browse Full Index Next Integer #29,023,086 →