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Atlas › Integer Profiles › Node 1,363,900

1,363,900

22 × 52 × 23 × 593
Abundant Even Composite

1,363,900 factors as 2^2 × 5^2 × 23 × 593. Its 36 positive divisors give a proper-divisor sum of 1,729,652, so this integer is abundant. The Collatz stopping time is 199 steps.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 23 × 593
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 3,093,552
Proper Divisor Sum 1,729,652
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #1363897 ← → #1363909

Radix Representation

Decimal 1363900
Binary 101001100111110111100 (21 bits)
Octal 0o5147674
Hexadecimal 0x14CFBC

Divisor Catalog (36)

1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 575 593 1,150 1,186 2,300 2,372 2,965 5,930 11,860 13,639 14,825 27,278 29,650 54,556 59,300 68,195 136,390 272,780 340,975 681,950 1,363,900

Collatz Trajectory (199 steps to reach 1)

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

1,363,900 681,950 340,975 1,022,926 511,463 1,534,390 767,195 2,301,586 1,150,793 3,452,380 1,726,190 863,095 2,589,286 1,294,643 3,883,930 1,941,965 5,825,896 2,912,948 1,456,474 728,237 2,184,712 1,092,356 546,178 273,089 819,268 409,634 204,817 614,452 307,226 153,613 460,840 230,420 115,210 57,605 172,816 86,408 43,204 21,602 10,801 32,404 16,202 8,101 24,304 12,152 6,076 3,038 1,519 4,558 2,279 6,838 3,419 10,258 5,129 15,388 7,694 3,847 11,542 5,771 17,314 8,657

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