31,644,574

2 × 13² × 251 × 373

31,644,574 factors as 2 × 13^2 × 251 × 373. Its 24 positive divisors give a proper-divisor sum of 20,097,578, so this integer is deficient. The Collatz stopping time is 149 steps.

Prime Factor Structure

Factorization String 2 × 13^2 × 251 × 373

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 51,742,152

Proper Divisor Sum 20,097,578

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #31644511 ← → #31644577

Radix Representation

Decimal	31644574
Binary	1111000101101101110011110 (25 bits)
Octal	0o170555636
Hexadecimal	0x1E2DB9E

Divisor Catalog (24)

Collatz Trajectory (149 steps to reach 1)

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

31,644,574 15,822,287 47,466,862 23,733,431 71,200,294 35,600,147 106,800,442 53,400,221 160,200,664 80,100,332 40,050,166 20,025,083 60,075,250 30,037,625 90,112,876 45,056,438 22,528,219 67,584,658 33,792,329 101,376,988 50,688,494 25,344,247 76,032,742 38,016,371 114,049,114 57,024,557 171,073,672 85,536,836 42,768,418 21,384,209 64,152,628 32,076,314 16,038,157 48,114,472 24,057,236 12,028,618 6,014,309 18,042,928 9,021,464 4,510,732 2,255,366 1,127,683 3,383,050 1,691,525 5,074,576 2,537,288 1,268,644 634,322 317,161 951,484 475,742 237,871 713,614 356,807 1,070,422 535,211 1,605,634 802,817 2,408,452 1,204,226

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