4,488,616

2³ × 11² × 4637

Starting at 4,488,616, the Collatz iteration reaches 1 after 136 steps. The first transition is 2244308; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 11^2 × 4637

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 9,252,810

Proper Divisor Sum 4,764,194

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #4488613 ← → #4488643

Radix Representation

Decimal	4488616
Binary	10001000111110110101000 (23 bits)
Octal	0o21076650
Hexadecimal	0x447DA8

Divisor Catalog (24)

1 2 4 8 11 22 44 88 121 242 484 968 4,637 9,274 18,548 37,096 51,007 102,014 204,028 408,056 561,077 1,122,154 2,244,308 4,488,616

Collatz Trajectory (136 steps to reach 1)

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

4,488,616 2,244,308 1,122,154 561,077 1,683,232 841,616 420,808 210,404 105,202 52,601 157,804 78,902 39,451 118,354 59,177 177,532 88,766 44,383 133,150 66,575 199,726 99,863 299,590 149,795 449,386 224,693 674,080 337,040 168,520 84,260 42,130 21,065 63,196 31,598 15,799 47,398 23,699 71,098 35,549 106,648 53,324 26,662 13,331 39,994 19,997 59,992 29,996 14,998 7,499 22,498 11,249 33,748 16,874 8,437 25,312 12,656 6,328 3,164 1,582 791

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