λ
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3,601,752

23 × 3 × 7 × 11 × 1949
Abundant Even Composite

3,601,752 factors as 2^3 × 3 × 7 × 11 × 1949. Its 64 positive divisors give a proper-divisor sum of 7,630,248, so this integer is abundant. The Collatz stopping time is 97 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 7 × 11 × 1949
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 11,232,000
Proper Divisor Sum 7,630,248
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #3601729 ← → #3601753

Radix Representation

Decimal 3601752
Binary 1101101111010101011000 (22 bits)
Octal 0o15572530
Hexadecimal 0x36F558

Divisor Catalog (60 of 64)

1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 924 1,848 1,949 3,898 5,847 7,796 11,694 13,643 15,592 21,439 23,388 27,286 40,929 42,878 46,776 54,572 64,317 81,858 85,756 109,144 128,634 150,073 163,716 171,512 257,268 300,146 327,432 450,219 514,536 600,292

Collatz Trajectory (97 steps to reach 1)

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

3,601,752 1,800,876 900,438 450,219 1,350,658 675,329 2,025,988 1,012,994 506,497 1,519,492 759,746 379,873 1,139,620 569,810 284,905 854,716 427,358 213,679 641,038 320,519 961,558 480,779 1,442,338 721,169 2,163,508 1,081,754 540,877 1,622,632 811,316 405,658 202,829 608,488 304,244 152,122 76,061 228,184 114,092 57,046 28,523 85,570 42,785 128,356 64,178 32,089 96,268 48,134 24,067 72,202 36,101 108,304 54,152 27,076 13,538 6,769 20,308 10,154 5,077 15,232 7,616 3,808

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