44,262,101

13 × 17 × 37 × 5413

44,262,101 factors as 13 × 17 × 37 × 5413. Its 16 positive divisors give a proper-divisor sum of 7,582,363, so this integer is deficient. The Collatz stopping time is 85 steps.

Prime Factor Structure

Factorization String 13 × 17 × 37 × 5413

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 51,844,464

Proper Divisor Sum 7,582,363

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #44262061 ← → #44262121

Radix Representation

Decimal	44262101
Binary	10101000110110001011010101 (26 bits)
Octal	0o250661325
Hexadecimal	0x2A362D5

Divisor Catalog (16)

1 13 17 37 221 481 629 5,413 8,177 70,369 92,021 200,281 1,196,273 2,603,653 3,404,777 44,262,101

Collatz Trajectory (85 steps to reach 1)

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

44,262,101 132,786,304 66,393,152 33,196,576 16,598,288 8,299,144 4,149,572 2,074,786 1,037,393 3,112,180 1,556,090 778,045 2,334,136 1,167,068 583,534 291,767 875,302 437,651 1,312,954 656,477 1,969,432 984,716 492,358 246,179 738,538 369,269 1,107,808 553,904 276,952 138,476 69,238 34,619 103,858 51,929 155,788 77,894 38,947 116,842 58,421 175,264 87,632 43,816 21,908 10,954 5,477 16,432 8,216 4,108 2,054 1,027 3,082 1,541 4,624 2,312 1,156 578 289 868 434 217

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