7,403,809

7 × 71 × 14897

Starting at 7,403,809, the Collatz iteration reaches 1 after 142 steps. The first transition is 22211428; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 7 × 71 × 14897

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 8,581,248

Proper Divisor Sum 1,177,439

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #7403807 ← → #7403813

Radix Representation

Decimal	7403809
Binary	11100001111100100100001 (23 bits)
Octal	0o34174441
Hexadecimal	0x70F921

Divisor Catalog (8)

1 7 71 497 14,897 104,279 1,057,687 7,403,809

Collatz Trajectory (142 steps to reach 1)

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

7,403,809 22,211,428 11,105,714 5,552,857 16,658,572 8,329,286 4,164,643 12,493,930 6,246,965 18,740,896 9,370,448 4,685,224 2,342,612 1,171,306 585,653 1,756,960 878,480 439,240 219,620 109,810 54,905 164,716 82,358 41,179 123,538 61,769 185,308 92,654 46,327 138,982 69,491 208,474 104,237 312,712 156,356 78,178 39,089 117,268 58,634 29,317 87,952 43,976 21,988 10,994 5,497 16,492 8,246 4,123 12,370 6,185 18,556 9,278 4,639 13,918 6,959 20,878 10,439 31,318 15,659 46,978

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