42,736,369

13 × 23 × 37 × 3863

42,736,369 factors as 13 × 23 × 37 × 3863. Its 16 positive divisors give a proper-divisor sum of 6,599,183, so this integer is deficient. The Collatz stopping time is 121 steps.

Prime Factor Structure

Factorization String 13 × 23 × 37 × 3863

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 49,335,552

Proper Divisor Sum 6,599,183

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #42736349 ← → #42736373

Radix Representation

Decimal	42736369
Binary	10100011000001101011110001 (26 bits)
Octal	0o243015361
Hexadecimal	0x28C1AF1

Divisor Catalog (16)

1 13 23 37 299 481 851 3,863 11,063 50,219 88,849 142,931 1,155,037 1,858,103 3,287,413 42,736,369

Collatz Trajectory (121 steps to reach 1)

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

42,736,369 128,209,108 64,104,554 32,052,277 96,156,832 48,078,416 24,039,208 12,019,604 6,009,802 3,004,901 9,014,704 4,507,352 2,253,676 1,126,838 563,419 1,690,258 845,129 2,535,388 1,267,694 633,847 1,901,542 950,771 2,852,314 1,426,157 4,278,472 2,139,236 1,069,618 534,809 1,604,428 802,214 401,107 1,203,322 601,661 1,804,984 902,492 451,246 225,623 676,870 338,435 1,015,306 507,653 1,522,960 761,480 380,740 190,370 95,185 285,556 142,778 71,389 214,168 107,084 53,542 26,771 80,314 40,157 120,472 60,236 30,118 15,059 45,178

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