13,759,496

2³ × 19 × 90523

13,759,496 factors as 2^3 × 19 × 90523. Its 16 positive divisors give a proper-divisor sum of 13,397,704, so this integer is deficient. The Collatz stopping time is 104 steps.

Prime Factor Structure

Factorization String 2^3 × 19 × 90523

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 27,157,200

Proper Divisor Sum 13,397,704

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #13759463 ← → #13759507

Radix Representation

Decimal	13759496
Binary	110100011111010000001000 (24 bits)
Octal	0o64372010
Hexadecimal	0xD1F408

Divisor Catalog (16)

1 2 4 8 19 38 76 152 90,523 181,046 362,092 724,184 1,719,937 3,439,874 6,879,748 13,759,496

Collatz Trajectory (104 steps to reach 1)

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

13,759,496 6,879,748 3,439,874 1,719,937 5,159,812 2,579,906 1,289,953 3,869,860 1,934,930 967,465 2,902,396 1,451,198 725,599 2,176,798 1,088,399 3,265,198 1,632,599 4,897,798 2,448,899 7,346,698 3,673,349 11,020,048 5,510,024 2,755,012 1,377,506 688,753 2,066,260 1,033,130 516,565 1,549,696 774,848 387,424 193,712 96,856 48,428 24,214 12,107 36,322 18,161 54,484 27,242 13,621 40,864 20,432 10,216 5,108 2,554 1,277 3,832 1,916 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429

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