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Atlas › Integer Profiles › Node 9,160,515

9,160,515

32 × 5 × 7 × 13 × 2237
Abundant Odd Composite

Starting at 9,160,515, the Collatz iteration reaches 1 after 132 steps. The first transition is 27481546; the starting value is odd with 48 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5 × 7 × 13 × 2237
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 19,551,168
Proper Divisor Sum 10,390,653
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #9160513 ← → #9160519

Radix Representation

Decimal 9160515
Binary 100010111100011101000011 (24 bits)
Octal 0o42743503
Hexadecimal 0x8BC743

Divisor Catalog (48)

1 3 5 7 9 13 15 21 35 39 45 63 65 91 105 117 195 273 315 455 585 819 1,365 2,237 4,095 6,711 11,185 15,659 20,133 29,081 33,555 46,977 78,295 87,243 100,665 140,931 145,405 203,567 234,885 261,729 436,215 610,701 704,655 1,017,835 1,308,645 1,832,103 3,053,505 9,160,515

Collatz Trajectory (132 steps to reach 1)

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

9,160,515 27,481,546 13,740,773 41,222,320 20,611,160 10,305,580 5,152,790 2,576,395 7,729,186 3,864,593 11,593,780 5,796,890 2,898,445 8,695,336 4,347,668 2,173,834 1,086,917 3,260,752 1,630,376 815,188 407,594 203,797 611,392 305,696 152,848 76,424 38,212 19,106 9,553 28,660 14,330 7,165 21,496 10,748 5,374 2,687 8,062 4,031 12,094 6,047 18,142 9,071 27,214 13,607 40,822 20,411 61,234 30,617 91,852 45,926 22,963 68,890 34,445 103,336 51,668 25,834 12,917 38,752 19,376 9,688

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