1,513,353

3 × 47 × 10733

Starting at 1,513,353, the Collatz iteration reaches 1 after 225 steps. The first transition is 4540060; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 47 × 10733

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 2,060,928

Proper Divisor Sum 547,575

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #1513321 ← → #1513361

Radix Representation

Decimal	1513353
Binary	101110001011110001001 (21 bits)
Octal	0o5613611
Hexadecimal	0x171789

Divisor Catalog (8)

1 3 47 141 10,733 32,199 504,451 1,513,353

Collatz Trajectory (225 steps to reach 1)

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

1,513,353 4,540,060 2,270,030 1,135,015 3,405,046 1,702,523 5,107,570 2,553,785 7,661,356 3,830,678 1,915,339 5,746,018 2,873,009 8,619,028 4,309,514 2,154,757 6,464,272 3,232,136 1,616,068 808,034 404,017 1,212,052 606,026 303,013 909,040 454,520 227,260 113,630 56,815 170,446 85,223 255,670 127,835 383,506 191,753 575,260 287,630 143,815 431,446 215,723 647,170 323,585 970,756 485,378 242,689 728,068 364,034 182,017 546,052 273,026 136,513 409,540 204,770 102,385 307,156 153,578 76,789 230,368 115,184 57,592

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