4,661,024

2⁵ × 113 × 1289

Starting at 4,661,024, the Collatz iteration reaches 1 after 193 steps. The first transition is 2330512; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 113 × 1289

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 9,264,780

Proper Divisor Sum 4,603,756

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #4661017 ← → #4661029

Radix Representation

Decimal	4661024
Binary	10001110001111100100000 (23 bits)
Octal	0o21617440
Hexadecimal	0x471F20

Divisor Catalog (24)

1 2 4 8 16 32 113 226 452 904 1,289 1,808 2,578 3,616 5,156 10,312 20,624 41,248 145,657 291,314 582,628 1,165,256 2,330,512 4,661,024

Collatz Trajectory (193 steps to reach 1)

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

4,661,024 2,330,512 1,165,256 582,628 291,314 145,657 436,972 218,486 109,243 327,730 163,865 491,596 245,798 122,899 368,698 184,349 553,048 276,524 138,262 69,131 207,394 103,697 311,092 155,546 77,773 233,320 116,660 58,330 29,165 87,496 43,748 21,874 10,937 32,812 16,406 8,203 24,610 12,305 36,916 18,458 9,229 27,688 13,844 6,922 3,461 10,384 5,192 2,596 1,298 649 1,948 974 487 1,462 731 2,194 1,097 3,292 1,646 823

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