λ
Integer Codex

1,171,572

22 × 3 × 17 × 5743
Abundant Even Composite

For 1,171,572, the 24 positive divisors have a total of 2,894,976. Removing 1,171,572 leaves 1,723,404, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 3 × 17 × 5743
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 2,894,976
Proper Divisor Sum 1,723,404
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #1171561 ← → #1171579

Radix Representation

Decimal 1171572
Binary 100011110000001110100 (21 bits)
Octal 0o4360164
Hexadecimal 0x11E074

Divisor Catalog (24)

1 2 3 4 6 12 17 34 51 68 102 204 5,743 11,486 17,229 22,972 34,458 68,916 97,631 195,262 292,893 390,524 585,786 1,171,572

Collatz Trajectory (72 steps to reach 1)

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

1,171,572 585,786 292,893 878,680 439,340 219,670 109,835 329,506 164,753 494,260 247,130 123,565 370,696 185,348 92,674 46,337 139,012 69,506 34,753 104,260 52,130 26,065 78,196 39,098 19,549 58,648 29,324 14,662 7,331 21,994 10,997 32,992 16,496 8,248 4,124 2,062 1,031 3,094 1,547 4,642 2,321 6,964 3,482 1,741 5,224 2,612 1,306 653 1,960 980 490 245 736 368 184 92 46 23 70 35

More profiles

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