29,131,328

2⁶ × 455177

29,131,328 factors as 2^6 × 455177. Its 14 positive divisors give a proper-divisor sum of 28,676,278, so this integer is deficient. The Collatz stopping time is 162 steps.

Prime Factor Structure

Factorization String 2^6 × 455177

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 14

Divisor Sum (σ) 57,807,606

Proper Divisor Sum 28,676,278

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #29131327 ← → #29131337

Radix Representation

Decimal	29131328
Binary	1101111001000001001000000 (25 bits)
Octal	0o157101100
Hexadecimal	0x1BC8240

Divisor Catalog (14)

1 2 4 8 16 32 64 455,177 910,354 1,820,708 3,641,416 7,282,832 14,565,664 29,131,328

Collatz Trajectory (162 steps to reach 1)

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

29,131,328 14,565,664 7,282,832 3,641,416 1,820,708 910,354 455,177 1,365,532 682,766 341,383 1,024,150 512,075 1,536,226 768,113 2,304,340 1,152,170 576,085 1,728,256 864,128 432,064 216,032 108,016 54,008 27,004 13,502 6,751 20,254 10,127 30,382 15,191 45,574 22,787 68,362 34,181 102,544 51,272 25,636 12,818 6,409 19,228 9,614 4,807 14,422 7,211 21,634 10,817 32,452 16,226 8,113 24,340 12,170 6,085 18,256 9,128 4,564 2,282 1,141 3,424 1,712 856

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