4,436,623

29 × 59 × 2593

Starting at 4,436,623, the Collatz iteration reaches 1 after 255 steps. The first transition is 13309870; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 29 × 59 × 2593

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 4,669,200

Proper Divisor Sum 232,577

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #4436603 ← → #4436639

Radix Representation

Decimal	4436623
Binary	10000111011001010001111 (23 bits)
Octal	0o20731217
Hexadecimal	0x43B28F

Divisor Catalog (8)

1 29 59 1,711 2,593 75,197 152,987 4,436,623

Collatz Trajectory (255 steps to reach 1)

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

4,436,623 13,309,870 6,654,935 19,964,806 9,982,403 29,947,210 14,973,605 44,920,816 22,460,408 11,230,204 5,615,102 2,807,551 8,422,654 4,211,327 12,633,982 6,316,991 18,950,974 9,475,487 28,426,462 14,213,231 42,639,694 21,319,847 63,959,542 31,979,771 95,939,314 47,969,657 143,908,972 71,954,486 35,977,243 107,931,730 53,965,865 161,897,596 80,948,798 40,474,399 121,423,198 60,711,599 182,134,798 91,067,399 273,202,198 136,601,099 409,803,298 204,901,649 614,704,948 307,352,474 153,676,237 461,028,712 230,514,356 115,257,178 57,628,589 172,885,768 86,442,884 43,221,442 21,610,721 64,832,164 32,416,082 16,208,041 48,624,124 24,312,062 12,156,031 36,468,094

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