λ
Integer Codex

1,360,740

22 × 3 × 5 × 22679
Abundant Even Composite

For 1,360,740, the 24 positive divisors have a total of 3,810,240. Removing 1,360,740 leaves 2,449,500, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 22679
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 3,810,240
Proper Divisor Sum 2,449,500
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #1360729 ← → #1360747

Radix Representation

Decimal 1360740
Binary 101001100001101100100 (21 bits)
Octal 0o5141544
Hexadecimal 0x14C364

Divisor Catalog (24)

1 2 3 4 5 6 10 12 15 20 30 60 22,679 45,358 68,037 90,716 113,395 136,074 226,790 272,148 340,185 453,580 680,370 1,360,740

Collatz Trajectory (67 steps to reach 1)

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

1,360,740 680,370 340,185 1,020,556 510,278 255,139 765,418 382,709 1,148,128 574,064 287,032 143,516 71,758 35,879 107,638 53,819 161,458 80,729 242,188 121,094 60,547 181,642 90,821 272,464 136,232 68,116 34,058 17,029 51,088 25,544 12,772 6,386 3,193 9,580 4,790 2,395 7,186 3,593 10,780 5,390 2,695 8,086 4,043 12,130 6,065 18,196 9,098 4,549 13,648 6,824 3,412 1,706 853 2,560 1,280 640 320 160 80 40

More profiles

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