31,409,752

2³ × 11 × 356929

31,409,752 factors as 2^3 × 11 × 356929. Its 16 positive divisors give a proper-divisor sum of 32,837,648, so this integer is abundant. The Collatz stopping time is 157 steps.

Prime Factor Structure

Factorization String 2^3 × 11 × 356929

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 64,247,400

Proper Divisor Sum 32,837,648

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #31409723 ← → #31409803

Radix Representation

Decimal	31409752
Binary	1110111110100011001011000 (25 bits)
Octal	0o167643130
Hexadecimal	0x1DF4658

Divisor Catalog (16)

1 2 4 8 11 22 44 88 356,929 713,858 1,427,716 2,855,432 3,926,219 7,852,438 15,704,876 31,409,752

Collatz Trajectory (157 steps to reach 1)

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

31,409,752 15,704,876 7,852,438 3,926,219 11,778,658 5,889,329 17,667,988 8,833,994 4,416,997 13,250,992 6,625,496 3,312,748 1,656,374 828,187 2,484,562 1,242,281 3,726,844 1,863,422 931,711 2,795,134 1,397,567 4,192,702 2,096,351 6,289,054 3,144,527 9,433,582 4,716,791 14,150,374 7,075,187 21,225,562 10,612,781 31,838,344 15,919,172 7,959,586 3,979,793 11,939,380 5,969,690 2,984,845 8,954,536 4,477,268 2,238,634 1,119,317 3,357,952 1,678,976 839,488 419,744 209,872 104,936 52,468 26,234 13,117 39,352 19,676 9,838 4,919 14,758 7,379 22,138 11,069 33,208

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