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Atlas › Integer Profiles › Node 14,611,376

14,611,376

24 × 13 × 199 × 353
Abundant Even Composite

14,611,376 factors as 2^4 × 13 × 199 × 353. Its 40 positive divisors give a proper-divisor sum of 16,115,824, so this integer is abundant. The Collatz stopping time is 205 steps.

Prime Factor Structure

Factorization String 2^4 × 13 × 199 × 353
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 30,727,200
Proper Divisor Sum 16,115,824
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #14611369 ← → #14611379

Radix Representation

Decimal 14611376
Binary 110111101111001110110000 (24 bits)
Octal 0o67571660
Hexadecimal 0xDEF3B0

Divisor Catalog (40)

1 2 4 8 13 16 26 52 104 199 208 353 398 706 796 1,412 1,592 2,587 2,824 3,184 4,589 5,174 5,648 9,178 10,348 18,356 20,696 36,712 41,392 70,247 73,424 140,494 280,988 561,976 913,211 1,123,952 1,826,422 3,652,844 7,305,688 14,611,376

Collatz Trajectory (205 steps to reach 1)

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

14,611,376 7,305,688 3,652,844 1,826,422 913,211 2,739,634 1,369,817 4,109,452 2,054,726 1,027,363 3,082,090 1,541,045 4,623,136 2,311,568 1,155,784 577,892 288,946 144,473 433,420 216,710 108,355 325,066 162,533 487,600 243,800 121,900 60,950 30,475 91,426 45,713 137,140 68,570 34,285 102,856 51,428 25,714 12,857 38,572 19,286 9,643 28,930 14,465 43,396 21,698 10,849 32,548 16,274 8,137 24,412 12,206 6,103 18,310 9,155 27,466 13,733 41,200 20,600 10,300 5,150 2,575

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