4,779,983

13 × 29 × 31 × 409

4,779,983 factors as 13 × 29 × 31 × 409. Its 16 positive divisors give a proper-divisor sum of 730,417, so this integer is deficient. The Collatz stopping time is 237 steps.

Prime Factor Structure

Factorization String 13 × 29 × 31 × 409

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,510,400

Proper Divisor Sum 730,417

Digit Sum / Digital Root 47 (Root: 2)

Adjacent Primes #4779979 ← → #4779989

Radix Representation

Decimal	4779983
Binary	10010001110111111001111 (23 bits)
Octal	0o22167717
Hexadecimal	0x48EFCF

Divisor Catalog (16)

1 13 29 31 377 403 409 899 5,317 11,687 11,861 12,679 154,193 164,827 367,691 4,779,983

Collatz Trajectory (237 steps to reach 1)

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

4,779,983 14,339,950 7,169,975 21,509,926 10,754,963 32,264,890 16,132,445 48,397,336 24,198,668 12,099,334 6,049,667 18,149,002 9,074,501 27,223,504 13,611,752 6,805,876 3,402,938 1,701,469 5,104,408 2,552,204 1,276,102 638,051 1,914,154 957,077 2,871,232 1,435,616 717,808 358,904 179,452 89,726 44,863 134,590 67,295 201,886 100,943 302,830 151,415 454,246 227,123 681,370 340,685 1,022,056 511,028 255,514 127,757 383,272 191,636 95,818 47,909 143,728 71,864 35,932 17,966 8,983 26,950 13,475 40,426 20,213 60,640 30,320

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