4,605,516

2² × 3² × 127931

Starting at 4,605,516, the Collatz iteration reaches 1 after 87 steps. The first transition is 2302758; the starting value is even with 18 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 127931

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 11,641,812

Proper Divisor Sum 7,036,296

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #4605511 ← → #4605527

Radix Representation

Decimal	4605516
Binary	10001100100011001001100 (23 bits)
Octal	0o21443114
Hexadecimal	0x46464C

Divisor Catalog (18)

1 2 3 4 6 9 12 18 36 127,931 255,862 383,793 511,724 767,586 1,151,379 1,535,172 2,302,758 4,605,516

Collatz Trajectory (87 steps to reach 1)

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

4,605,516 2,302,758 1,151,379 3,454,138 1,727,069 5,181,208 2,590,604 1,295,302 647,651 1,942,954 971,477 2,914,432 1,457,216 728,608 364,304 182,152 91,076 45,538 22,769 68,308 34,154 17,077 51,232 25,616 12,808 6,404 3,202 1,601 4,804 2,402 1,201 3,604 1,802 901 2,704 1,352 676 338 169 508 254 127 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820

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