4,312,748

2² × 11 × 98017

Starting at 4,312,748, the Collatz iteration reaches 1 after 105 steps. The first transition is 2156374; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 11 × 98017

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 8,233,512

Proper Divisor Sum 3,920,764

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #4312741 ← → #4312783

Radix Representation

Decimal	4312748
Binary	10000011100111010101100 (23 bits)
Octal	0o20347254
Hexadecimal	0x41CEAC

Divisor Catalog (12)

1 2 4 11 22 44 98,017 196,034 392,068 1,078,187 2,156,374 4,312,748

Collatz Trajectory (105 steps to reach 1)

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

4,312,748 2,156,374 1,078,187 3,234,562 1,617,281 4,851,844 2,425,922 1,212,961 3,638,884 1,819,442 909,721 2,729,164 1,364,582 682,291 2,046,874 1,023,437 3,070,312 1,535,156 767,578 383,789 1,151,368 575,684 287,842 143,921 431,764 215,882 107,941 323,824 161,912 80,956 40,478 20,239 60,718 30,359 91,078 45,539 136,618 68,309 204,928 102,464 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

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