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Atlas › Integer Profiles › Node 15,051,134

15,051,134

2 × 72 × 383 × 401
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 7^2 × 383 × 401
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 26,396,928
Proper Divisor Sum 11,345,794
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #15051133 ← → #15051143

Radix Representation

Decimal 15051134
Binary 111001011010100101111110 (24 bits)
Octal 0o71324576
Hexadecimal 0xE5A97E

Divisor Catalog (24)

1 2 7 14 49 98 383 401 766 802 2,681 2,807 5,362 5,614 18,767 19,649 37,534 39,298 153,583 307,166 1,075,081 2,150,162 7,525,567 15,051,134

Collatz Trajectory (342 steps to reach 1)

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

15,051,134 7,525,567 22,576,702 11,288,351 33,865,054 16,932,527 50,797,582 25,398,791 76,196,374 38,098,187 114,294,562 57,147,281 171,441,844 85,720,922 42,860,461 128,581,384 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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