5,429,151

3² × 7² × 13 × 947

Starting at 5,429,151, the Collatz iteration reaches 1 after 232 steps. The first transition is 16287454; the starting value is odd with 36 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 7^2 × 13 × 947

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 9,834,552

Proper Divisor Sum 4,405,401

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #5429147 ← → #5429153

Radix Representation

Decimal	5429151
Binary	10100101101011110011111 (23 bits)
Octal	0o24553637
Hexadecimal	0x52D79F

Divisor Catalog (36)

1 3 7 9 13 21 39 49 63 91 117 147 273 441 637 819 947 1,911 2,841 5,733 6,629 8,523 12,311 19,887 36,933 46,403 59,661 86,177 110,799 139,209 258,531 417,627 603,239 775,593 1,809,717 5,429,151

Collatz Trajectory (232 steps to reach 1)

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

5,429,151 16,287,454 8,143,727 24,431,182 12,215,591 36,646,774 18,323,387 54,970,162 27,485,081 82,455,244 41,227,622 20,613,811 61,841,434 30,920,717 92,762,152 46,381,076 23,190,538 11,595,269 34,785,808 17,392,904 8,696,452 4,348,226 2,174,113 6,522,340 3,261,170 1,630,585 4,891,756 2,445,878 1,222,939 3,668,818 1,834,409 5,503,228 2,751,614 1,375,807 4,127,422 2,063,711 6,191,134 3,095,567 9,286,702 4,643,351 13,930,054 6,965,027 20,895,082 10,447,541 31,342,624 15,671,312 7,835,656 3,917,828 1,958,914 979,457 2,938,372 1,469,186 734,593 2,203,780 1,101,890 550,945 1,652,836 826,418 413,209 1,239,628

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