4,441,983

3 × 7 × 13 × 53 × 307

Starting at 4,441,983, the Collatz iteration reaches 1 after 392 steps. The first transition is 13325950; the starting value is odd with 32 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 13 × 53 × 307

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 7,451,136

Proper Divisor Sum 3,009,153

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #4441979 ← → #4441999

Radix Representation

Decimal	4441983
Binary	10000111100011101111111 (23 bits)
Octal	0o20743577
Hexadecimal	0x43C77F

Divisor Catalog (32)

1 3 7 13 21 39 53 91 159 273 307 371 689 921 1,113 2,067 2,149 3,991 4,823 6,447 11,973 14,469 16,271 27,937 48,813 83,811 113,897 211,523 341,691 634,569 1,480,661 4,441,983

Collatz Trajectory (392 steps to reach 1)

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

4,441,983 13,325,950 6,662,975 19,988,926 9,994,463 29,983,390 14,991,695 44,975,086 22,487,543 67,462,630 33,731,315 101,193,946 50,596,973 151,790,920 75,895,460 37,947,730 18,973,865 56,921,596 28,460,798 14,230,399 42,691,198 21,345,599 64,036,798 32,018,399 96,055,198 48,027,599 144,082,798 72,041,399 216,124,198 108,062,099 324,186,298 162,093,149 486,279,448 243,139,724 121,569,862 60,784,931 182,354,794 91,177,397 273,532,192 136,766,096 68,383,048 34,191,524 17,095,762 8,547,881 25,643,644 12,821,822 6,410,911 19,232,734 9,616,367 28,849,102 14,424,551 43,273,654 21,636,827 64,910,482 32,455,241 97,365,724 48,682,862 24,341,431 73,024,294 36,512,147

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