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Atlas › Integer Profiles › Node 1,363,700

1,363,700

22 × 52 × 13 × 1049
Abundant Even Composite

1,363,700 factors as 2^2 × 5^2 × 13 × 1049. Its 36 positive divisors give a proper-divisor sum of 1,826,200, so this integer is abundant. The Collatz stopping time is 106 steps.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 13 × 1049
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 3,189,900
Proper Divisor Sum 1,826,200
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #1363679 ← → #1363717

Radix Representation

Decimal 1363700
Binary 101001100111011110100 (21 bits)
Octal 0o5147364
Hexadecimal 0x14CEF4

Divisor Catalog (36)

1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1,049 1,300 2,098 4,196 5,245 10,490 13,637 20,980 26,225 27,274 52,450 54,548 68,185 104,900 136,370 272,740 340,925 681,850 1,363,700

Collatz Trajectory (106 steps to reach 1)

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

1,363,700 681,850 340,925 1,022,776 511,388 255,694 127,847 383,542 191,771 575,314 287,657 862,972 431,486 215,743 647,230 323,615 970,846 485,423 1,456,270 728,135 2,184,406 1,092,203 3,276,610 1,638,305 4,914,916 2,457,458 1,228,729 3,686,188 1,843,094 921,547 2,764,642 1,382,321 4,146,964 2,073,482 1,036,741 3,110,224 1,555,112 777,556 388,778 194,389 583,168 291,584 145,792 72,896 36,448 18,224 9,112 4,556 2,278 1,139 3,418 1,709 5,128 2,564 1,282 641 1,924 962 481 1,444

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