4,472,415

3⁷ × 5 × 409

Starting at 4,472,415, the Collatz iteration reaches 1 after 136 steps. The first transition is 13417246; the starting value is odd with 32 positive divisors.

Prime Factor Structure

Factorization String 3^7 × 5 × 409

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 8,068,800

Proper Divisor Sum 3,596,385

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #4472399 ← → #4472431

Radix Representation

Decimal	4472415
Binary	10001000011111001011111 (23 bits)
Octal	0o21037137
Hexadecimal	0x443E5F

Divisor Catalog (32)

1 3 5 9 15 27 45 81 135 243 405 409 729 1,215 1,227 2,045 2,187 3,645 3,681 6,135 10,935 11,043 18,405 33,129 55,215 99,387 165,645 298,161 496,935 894,483 1,490,805 4,472,415

Collatz Trajectory (136 steps to reach 1)

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

4,472,415 13,417,246 6,708,623 20,125,870 10,062,935 30,188,806 15,094,403 45,283,210 22,641,605 67,924,816 33,962,408 16,981,204 8,490,602 4,245,301 12,735,904 6,367,952 3,183,976 1,591,988 795,994 397,997 1,193,992 596,996 298,498 149,249 447,748 223,874 111,937 335,812 167,906 83,953 251,860 125,930 62,965 188,896 94,448 47,224 23,612 11,806 5,903 17,710 8,855 26,566 13,283 39,850 19,925 59,776 29,888 14,944 7,472 3,736 1,868 934 467 1,402 701 2,104 1,052 526 263 790

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