4,509,181

29 × 61 × 2549

Starting at 4,509,181, the Collatz iteration reaches 1 after 162 steps. The first transition is 13527544; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 29 × 61 × 2549

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 4,743,000

Proper Divisor Sum 233,819

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #4509179 ← → #4509191

Radix Representation

Decimal	4509181
Binary	10001001100110111111101 (23 bits)
Octal	0o21146775
Hexadecimal	0x44CDFD

Divisor Catalog (8)

1 29 61 1,769 2,549 73,921 155,489 4,509,181

Collatz Trajectory (162 steps to reach 1)

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

4,509,181 13,527,544 6,763,772 3,381,886 1,690,943 5,072,830 2,536,415 7,609,246 3,804,623 11,413,870 5,706,935 17,120,806 8,560,403 25,681,210 12,840,605 38,521,816 19,260,908 9,630,454 4,815,227 14,445,682 7,222,841 21,668,524 10,834,262 5,417,131 16,251,394 8,125,697 24,377,092 12,188,546 6,094,273 18,282,820 9,141,410 4,570,705 13,712,116 6,856,058 3,428,029 10,284,088 5,142,044 2,571,022 1,285,511 3,856,534 1,928,267 5,784,802 2,892,401 8,677,204 4,338,602 2,169,301 6,507,904 3,253,952 1,626,976 813,488 406,744 203,372 101,686 50,843 152,530 76,265 228,796 114,398 57,199 171,598

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