λ
Prime Ledger

5,664,015

32 × 5 × 7 × 17981
Deficient Odd Composite

5,664,015 has the prime decomposition 3^2 × 5 × 7 × 17981. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5 × 7 × 17981
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 11,220,768
Proper Divisor Sum 5,556,753
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #5664013 ← → #5664031

Radix Representation

Decimal 5664015
Binary 10101100110110100001111 (23 bits)
Octal 0o25466417
Hexadecimal 0x566D0F

Divisor Catalog (24)

1 3 5 7 9 15 21 35 45 63 105 315 17,981 53,943 89,905 125,867 161,829 269,715 377,601 629,335 809,145 1,132,803 1,888,005 5,664,015

Collatz Trajectory (108 steps to reach 1)

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

5,664,015 16,992,046 8,496,023 25,488,070 12,744,035 38,232,106 19,116,053 57,348,160 28,674,080 14,337,040 7,168,520 3,584,260 1,792,130 896,065 2,688,196 1,344,098 672,049 2,016,148 1,008,074 504,037 1,512,112 756,056 378,028 189,014 94,507 283,522 141,761 425,284 212,642 106,321 318,964 159,482 79,741 239,224 119,612 59,806 29,903 89,710 44,855 134,566 67,283 201,850 100,925 302,776 151,388 75,694 37,847 113,542 56,771 170,314 85,157 255,472 127,736 63,868 31,934 15,967 47,902 23,951 71,854 35,927

More profiles

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