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13,906,624

26 × 197 × 1103
Deficient Even Composite

13,906,624 factors as 2^6 × 197 × 1103. Its 28 positive divisors give a proper-divisor sum of 13,854,560, so this integer is deficient. The Collatz stopping time is 192 steps.

Prime Factor Structure

Factorization String 2^6 × 197 × 1103
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 27,761,184
Proper Divisor Sum 13,854,560
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #13906601 ← → #13906637

Radix Representation

Decimal 13906624
Binary 110101000011001011000000 (24 bits)
Octal 0o65031300
Hexadecimal 0xD432C0

Divisor Catalog (28)

1 2 4 8 16 32 64 197 394 788 1,103 1,576 2,206 3,152 4,412 6,304 8,824 12,608 17,648 35,296 70,592 217,291 434,582 869,164 1,738,328 3,476,656 6,953,312 13,906,624

Collatz Trajectory (192 steps to reach 1)

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

13,906,624 6,953,312 3,476,656 1,738,328 869,164 434,582 217,291 651,874 325,937 977,812 488,906 244,453 733,360 366,680 183,340 91,670 45,835 137,506 68,753 206,260 103,130 51,565 154,696 77,348 38,674 19,337 58,012 29,006 14,503 43,510 21,755 65,266 32,633 97,900 48,950 24,475 73,426 36,713 110,140 55,070 27,535 82,606 41,303 123,910 61,955 185,866 92,933 278,800 139,400 69,700 34,850 17,425 52,276 26,138 13,069 39,208 19,604 9,802 4,901 14,704

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