λ
Prime Ledger

3,131,360

25 × 5 × 19571
Abundant Even Composite

3,131,360 has the prime decomposition 2^5 × 5 × 19571. Its 3 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 5 × 19571
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 7,398,216
Proper Divisor Sum 4,266,856
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #3131357 ← → #3131369

Radix Representation

Decimal 3131360
Binary 1011111100011111100000 (22 bits)
Octal 0o13743740
Hexadecimal 0x2FC7E0

Divisor Catalog (24)

1 2 4 5 8 10 16 20 32 40 80 160 19,571 39,142 78,284 97,855 156,568 195,710 313,136 391,420 626,272 782,840 1,565,680 3,131,360

Collatz Trajectory (301 steps to reach 1)

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

3,131,360 1,565,680 782,840 391,420 195,710 97,855 293,566 146,783 440,350 220,175 660,526 330,263 990,790 495,395 1,486,186 743,093 2,229,280 1,114,640 557,320 278,660 139,330 69,665 208,996 104,498 52,249 156,748 78,374 39,187 117,562 58,781 176,344 88,172 44,086 22,043 66,130 33,065 99,196 49,598 24,799 74,398 37,199 111,598 55,799 167,398 83,699 251,098 125,549 376,648 188,324 94,162 47,081 141,244 70,622 35,311 105,934 52,967 158,902 79,451 238,354 119,177

More profiles

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