4,463,421

3 × 37 × 79 × 509

Starting at 4,463,421, the Collatz iteration reaches 1 after 211 steps. The first transition is 13390264; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 37 × 79 × 509

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,201,600

Proper Divisor Sum 1,738,179

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #4463413 ← → #4463453

Radix Representation

Decimal	4463421
Binary	10001000001101100111101 (23 bits)
Octal	0o21015475
Hexadecimal	0x441B3D

Divisor Catalog (16)

1 3 37 79 111 237 509 1,527 2,923 8,769 18,833 40,211 56,499 120,633 1,487,807 4,463,421

Collatz Trajectory (211 steps to reach 1)

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

4,463,421 13,390,264 6,695,132 3,347,566 1,673,783 5,021,350 2,510,675 7,532,026 3,766,013 11,298,040 5,649,020 2,824,510 1,412,255 4,236,766 2,118,383 6,355,150 3,177,575 9,532,726 4,766,363 14,299,090 7,149,545 21,448,636 10,724,318 5,362,159 16,086,478 8,043,239 24,129,718 12,064,859 36,194,578 18,097,289 54,291,868 27,145,934 13,572,967 40,718,902 20,359,451 61,078,354 30,539,177 91,617,532 45,808,766 22,904,383 68,713,150 34,356,575 103,069,726 51,534,863 154,604,590 77,302,295 231,906,886 115,953,443 347,860,330 173,930,165 521,790,496 260,895,248 130,447,624 65,223,812 32,611,906 16,305,953 48,917,860 24,458,930 12,229,465 36,688,396

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