λ
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Atlas › Integer Profiles › Node 13,797,700

13,797,700

22 × 52 × 7 × 23 × 857
Abundant Even Composite

13,797,700 factors as 2^2 × 5^2 × 7 × 23 × 857. Its 72 positive divisors give a proper-divisor sum of 21,950,012, so this integer is abundant. The Collatz stopping time is 298 steps.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 7 × 23 × 857
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 35,747,712
Proper Divisor Sum 21,950,012
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #13797673 ← → #13797701

Radix Representation

Decimal 13797700
Binary 110100101000100101000100 (24 bits)
Octal 0o64504504
Hexadecimal 0xD28944

Divisor Catalog (60 of 72)

1 2 4 5 7 10 14 20 23 25 28 35 46 50 70 92 100 115 140 161 175 230 322 350 460 575 644 700 805 857 1,150 1,610 1,714 2,300 3,220 3,428 4,025 4,285 5,999 8,050 8,570 11,998 16,100 17,140 19,711 21,425 23,996 29,995 39,422 42,850 59,990 78,844 85,700 98,555 119,980 137,977 149,975 197,110 275,954 299,950

Collatz Trajectory (298 steps to reach 1)

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

13,797,700 6,898,850 3,449,425 10,348,276 5,174,138 2,587,069 7,761,208 3,880,604 1,940,302 970,151 2,910,454 1,455,227 4,365,682 2,182,841 6,548,524 3,274,262 1,637,131 4,911,394 2,455,697 7,367,092 3,683,546 1,841,773 5,525,320 2,762,660 1,381,330 690,665 2,071,996 1,035,998 517,999 1,553,998 776,999 2,330,998 1,165,499 3,496,498 1,748,249 5,244,748 2,622,374 1,311,187 3,933,562 1,966,781 5,900,344 2,950,172 1,475,086 737,543 2,212,630 1,106,315 3,318,946 1,659,473 4,978,420 2,489,210 1,244,605 3,733,816 1,866,908 933,454 466,727 1,400,182 700,091 2,100,274 1,050,137 3,150,412

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