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Atlas › Integer Profiles › Node 13,892,978

13,892,978

2 × 113 × 17 × 307
Deficient Even Composite

13,892,978 factors as 2 × 11^3 × 17 × 307. Its 32 positive divisors give a proper-divisor sum of 10,456,270, so this integer is deficient. The Collatz stopping time is 73 steps.

Prime Factor Structure

Factorization String 2 × 11^3 × 17 × 307
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 24,349,248
Proper Divisor Sum 10,456,270
Digit Sum / Digital Root 47 (Root: 2)
Adjacent Primes #13892969 ← → #13892993

Radix Representation

Decimal 13892978
Binary 110100111111110101110010 (24 bits)
Octal 0o64776562
Hexadecimal 0xD3FD72

Divisor Catalog (32)

1 2 11 17 22 34 121 187 242 307 374 614 1,331 2,057 2,662 3,377 4,114 5,219 6,754 10,438 22,627 37,147 45,254 57,409 74,294 114,818 408,617 631,499 817,234 1,262,998 6,946,489 13,892,978

Collatz Trajectory (73 steps to reach 1)

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

13,892,978 6,946,489 20,839,468 10,419,734 5,209,867 15,629,602 7,814,801 23,444,404 11,722,202 5,861,101 17,583,304 8,791,652 4,395,826 2,197,913 6,593,740 3,296,870 1,648,435 4,945,306 2,472,653 7,417,960 3,708,980 1,854,490 927,245 2,781,736 1,390,868 695,434 347,717 1,043,152 521,576 260,788 130,394 65,197 195,592 97,796 48,898 24,449 73,348 36,674 18,337 55,012 27,506 13,753 41,260 20,630 10,315 30,946 15,473 46,420 23,210 11,605 34,816 17,408 8,704 4,352 2,176 1,088 544 272 136 68

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