4,616,535

3 × 5 × 7² × 11 × 571

Starting at 4,616,535, the Collatz iteration reaches 1 after 131 steps. The first transition is 13849606; the starting value is odd with 48 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 7^2 × 11 × 571

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 9,389,952

Proper Divisor Sum 4,773,417

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #4616531 ← → #4616567

Radix Representation

Decimal	4616535
Binary	10001100111000101010111 (23 bits)
Octal	0o21470527
Hexadecimal	0x467157

Divisor Catalog (48)

1 3 5 7 11 15 21 33 35 49 55 77 105 147 165 231 245 385 539 571 735 1,155 1,617 1,713 2,695 2,855 3,997 6,281 8,085 8,565 11,991 18,843 19,985 27,979 31,405 43,967 59,955 83,937 94,215 131,901 139,895 219,835 307,769 419,685 659,505 923,307 1,538,845 4,616,535

Collatz Trajectory (131 steps to reach 1)

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

4,616,535 13,849,606 6,924,803 20,774,410 10,387,205 31,161,616 15,580,808 7,790,404 3,895,202 1,947,601 5,842,804 2,921,402 1,460,701 4,382,104 2,191,052 1,095,526 547,763 1,643,290 821,645 2,464,936 1,232,468 616,234 308,117 924,352 462,176 231,088 115,544 57,772 28,886 14,443 43,330 21,665 64,996 32,498 16,249 48,748 24,374 12,187 36,562 18,281 54,844 27,422 13,711 41,134 20,567 61,702 30,851 92,554 46,277 138,832 69,416 34,708 17,354 8,677 26,032 13,016 6,508 3,254 1,627 4,882

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