29,697,256

2³ × 31 × 119747

29,697,256 factors as 2^3 × 31 × 119747. Its 16 positive divisors give a proper-divisor sum of 27,781,784, so this integer is deficient. The Collatz stopping time is 87 steps.

Prime Factor Structure

Factorization String 2^3 × 31 × 119747

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 57,479,040

Proper Divisor Sum 27,781,784

Digit Sum / Digital Root 46 (Root: 1)

Adjacent Primes #29697251 ← → #29697257

Radix Representation

Decimal	29697256
Binary	1110001010010010011101000 (25 bits)
Octal	0o161222350
Hexadecimal	0x1C524E8

Divisor Catalog (16)

1 2 4 8 31 62 124 248 119,747 239,494 478,988 957,976 3,712,157 7,424,314 14,848,628 29,697,256

Collatz Trajectory (87 steps to reach 1)

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

29,697,256 14,848,628 7,424,314 3,712,157 11,136,472 5,568,236 2,784,118 1,392,059 4,176,178 2,088,089 6,264,268 3,132,134 1,566,067 4,698,202 2,349,101 7,047,304 3,523,652 1,761,826 880,913 2,642,740 1,321,370 660,685 1,982,056 991,028 495,514 247,757 743,272 371,636 185,818 92,909 278,728 139,364 69,682 34,841 104,524 52,262 26,131 78,394 39,197 117,592 58,796 29,398 14,699 44,098 22,049 66,148 33,074 16,537 49,612 24,806 12,403 37,210 18,605 55,816 27,908 13,954 6,977 20,932 10,466 5,233

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