40,101,011

17 × 31 × 47 × 1619

40,101,011 factors as 17 × 31 × 47 × 1619. Its 16 positive divisors give a proper-divisor sum of 4,688,749, so this integer is deficient. The Collatz stopping time is 209 steps.

Prime Factor Structure

Factorization String 17 × 31 × 47 × 1619

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 44,789,760

Proper Divisor Sum 4,688,749

Digit Sum / Digital Root 8 (Root: 8)

Adjacent Primes #40100999 ← → #40101031

Radix Representation

Decimal	40101011
Binary	10011000111110010010010011 (26 bits)
Octal	0o230762223
Hexadecimal	0x263E493

Divisor Catalog (16)

1 17 31 47 527 799 1,457 1,619 24,769 27,523 50,189 76,093 853,213 1,293,581 2,358,883 40,101,011

Collatz Trajectory (209 steps to reach 1)

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

40,101,011 120,303,034 60,151,517 180,454,552 90,227,276 45,113,638 22,556,819 67,670,458 33,835,229 101,505,688 50,752,844 25,376,422 12,688,211 38,064,634 19,032,317 57,096,952 28,548,476 14,274,238 7,137,119 21,411,358 10,705,679 32,117,038 16,058,519 48,175,558 24,087,779 72,263,338 36,131,669 108,395,008 54,197,504 27,098,752 13,549,376 6,774,688 3,387,344 1,693,672 846,836 423,418 211,709 635,128 317,564 158,782 79,391 238,174 119,087 357,262 178,631 535,894 267,947 803,842 401,921 1,205,764 602,882 301,441 904,324 452,162 226,081 678,244 339,122 169,561 508,684 254,342

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