λ
Sigma Notebook

5,731,362

2 × 32 × 7 × 13 × 3499
Abundant Even Composite

5,731,362 is even and not a perfect square. Its factorization is 2 × 3^2 × 7 × 13 × 3499 and its 48 divisors sum to 15,288,000.

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 13 × 3499
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 15,288,000
Proper Divisor Sum 9,556,638
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #5731361 ← → #5731391

Radix Representation

Decimal 5731362
Binary 10101110111010000100010 (23 bits)
Octal 0o25672042
Hexadecimal 0x577422

Divisor Catalog (48)

1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 234 273 546 819 1,638 3,499 6,998 10,497 20,994 24,493 31,491 45,487 48,986 62,982 73,479 90,974 136,461 146,958 220,437 272,922 318,409 409,383 440,874 636,818 818,766 955,227 1,910,454 2,865,681 5,731,362

Collatz Trajectory (77 steps to reach 1)

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

5,731,362 2,865,681 8,597,044 4,298,522 2,149,261 6,447,784 3,223,892 1,611,946 805,973 2,417,920 1,208,960 604,480 302,240 151,120 75,560 37,780 18,890 9,445 28,336 14,168 7,084 3,542 1,771 5,314 2,657 7,972 3,986 1,993 5,980 2,990 1,495 4,486 2,243 6,730 3,365 10,096 5,048 2,524 1,262 631 1,894 947 2,842 1,421 4,264 2,132 1,066 533 1,600 800 400 200 100 50 25 76 38 19 58 29

More profiles

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