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Atlas › Integer Profiles › Node 15,051,135

15,051,135

3 × 5 × 11 × 19 × 4801
Deficient Odd Composite

15,051,135 factors as 3 × 5 × 11 × 19 × 4801. Its 32 positive divisors give a proper-divisor sum of 12,608,385, so this integer is deficient. The Collatz stopping time is 342 steps.

Prime Factor Structure

Factorization String 3 × 5 × 11 × 19 × 4801
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 27,659,520
Proper Divisor Sum 12,608,385
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #15051133 ← → #15051143

Radix Representation

Decimal 15051135
Binary 111001011010100101111111 (24 bits)
Octal 0o71324577
Hexadecimal 0xE5A97F

Divisor Catalog (32)

1 3 5 11 15 19 33 55 57 95 165 209 285 627 1,045 3,135 4,801 14,403 24,005 52,811 72,015 91,219 158,433 264,055 273,657 456,095 792,165 1,003,409 1,368,285 3,010,227 5,017,045 15,051,135

Collatz Trajectory (342 steps to reach 1)

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

15,051,135 45,153,406 22,576,703 67,730,110 33,865,055 101,595,166 50,797,583 152,392,750 76,196,375 228,589,126 114,294,563 342,883,690 171,441,845 514,325,536 257,162,768 128,581,384 64,290,692 32,145,346 16,072,673 48,218,020 24,109,010 12,054,505 36,163,516 18,081,758 9,040,879 27,122,638 13,561,319 40,683,958 20,341,979 61,025,938 30,512,969 91,538,908 45,769,454 22,884,727 68,654,182 34,327,091 102,981,274 51,490,637 154,471,912 77,235,956 38,617,978 19,308,989 57,926,968 28,963,484 14,481,742 7,240,871 21,722,614 10,861,307 32,583,922 16,291,961 48,875,884 24,437,942 12,218,971 36,656,914 18,328,457 54,985,372 27,492,686 13,746,343 41,239,030 20,619,515

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