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Atlas › Integer Profiles › Node 14,780,352

14,780,352

26 × 3 × 23 × 3347
Abundant Even Composite

14,780,352 factors as 2^6 × 3 × 23 × 3347. Its 56 positive divisors give a proper-divisor sum of 26,038,464, so this integer is abundant. The Collatz stopping time is 99 steps.

Prime Factor Structure

Factorization String 2^6 × 3 × 23 × 3347
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 40,818,816
Proper Divisor Sum 26,038,464
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #14780341 ← → #14780357

Radix Representation

Decimal 14780352
Binary 111000011000011111000000 (24 bits)
Octal 0o70303700
Hexadecimal 0xE187C0

Divisor Catalog (56)

1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 138 184 192 276 368 552 736 1,104 1,472 2,208 3,347 4,416 6,694 10,041 13,388 20,082 26,776 40,164 53,552 76,981 80,328 107,104 153,962 160,656 214,208 230,943 307,924 321,312 461,886 615,848 642,624 923,772 1,231,696 1,847,544 2,463,392 3,695,088 4,926,784 7,390,176 14,780,352

Collatz Trajectory (99 steps to reach 1)

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

14,780,352 7,390,176 3,695,088 1,847,544 923,772 461,886 230,943 692,830 346,415 1,039,246 519,623 1,558,870 779,435 2,338,306 1,169,153 3,507,460 1,753,730 876,865 2,630,596 1,315,298 657,649 1,972,948 986,474 493,237 1,479,712 739,856 369,928 184,964 92,482 46,241 138,724 69,362 34,681 104,044 52,022 26,011 78,034 39,017 117,052 58,526 29,263 87,790 43,895 131,686 65,843 197,530 98,765 296,296 148,148 74,074 37,037 111,112 55,556 27,778 13,889 41,668 20,834 10,417 31,252 15,626

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