4,400,915

5 × 31 × 28393

Starting at 4,400,915, the Collatz iteration reaches 1 after 180 steps. The first transition is 13202746; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 31 × 28393

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 5,451,648

Proper Divisor Sum 1,050,733

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #4400897 ← → #4400917

Radix Representation

Decimal	4400915
Binary	10000110010011100010011 (23 bits)
Octal	0o20623423
Hexadecimal	0x432713

Divisor Catalog (8)

1 5 31 155 28,393 141,965 880,183 4,400,915

Collatz Trajectory (180 steps to reach 1)

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

4,400,915 13,202,746 6,601,373 19,804,120 9,902,060 4,951,030 2,475,515 7,426,546 3,713,273 11,139,820 5,569,910 2,784,955 8,354,866 4,177,433 12,532,300 6,266,150 3,133,075 9,399,226 4,699,613 14,098,840 7,049,420 3,524,710 1,762,355 5,287,066 2,643,533 7,930,600 3,965,300 1,982,650 991,325 2,973,976 1,486,988 743,494 371,747 1,115,242 557,621 1,672,864 836,432 418,216 209,108 104,554 52,277 156,832 78,416 39,208 19,604 9,802 4,901 14,704 7,352 3,676 1,838 919 2,758 1,379 4,138 2,069 6,208 3,104 1,552 776

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