λ
Integer Codex

5,976,586

2 × 7 × 11 × 1972
Deficient Even Composite

For 5,976,586, the 24 positive divisors have a total of 11,234,016. Removing 5,976,586 leaves 5,257,430, which gives the deficient classification.

Prime Factor Structure

Factorization String 2 × 7 × 11 × 197^2
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 11,234,016
Proper Divisor Sum 5,257,430
Digit Sum / Digital Root 46 (Root: 1)
Adjacent Primes #5976577 ← → #5976599

Radix Representation

Decimal 5976586
Binary 10110110011001000001010 (23 bits)
Octal 0o26631012
Hexadecimal 0x5B320A

Divisor Catalog (24)

1 2 7 11 14 22 77 154 197 394 1,379 2,167 2,758 4,334 15,169 30,338 38,809 77,618 271,663 426,899 543,326 853,798 2,988,293 5,976,586

Collatz Trajectory (90 steps to reach 1)

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

5,976,586 2,988,293 8,964,880 4,482,440 2,241,220 1,120,610 560,305 1,680,916 840,458 420,229 1,260,688 630,344 315,172 157,586 78,793 236,380 118,190 59,095 177,286 88,643 265,930 132,965 398,896 199,448 99,724 49,862 24,931 74,794 37,397 112,192 56,096 28,048 14,024 7,012 3,506 1,753 5,260 2,630 1,315 3,946 1,973 5,920 2,960 1,480 740 370 185 556 278 139 418 209 628 314 157 472 236 118 59 178

More profiles

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