λ
Sigma Notebook

4,313,715

3 × 5 × 72 × 5869
Deficient Odd Composite

4,313,715 is odd and not a perfect square. Its factorization is 3 × 5 × 7^2 × 5869 and its 24 divisors sum to 8,030,160.

Prime Factor Structure

Factorization String 3 × 5 × 7^2 × 5869
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 8,030,160
Proper Divisor Sum 3,716,445
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #4313713 ← → #4313731

Radix Representation

Decimal 4313715
Binary 10000011101001001110011 (23 bits)
Octal 0o20351163
Hexadecimal 0x41D273

Divisor Catalog (24)

1 3 5 7 15 21 35 49 105 147 245 735 5,869 17,607 29,345 41,083 88,035 123,249 205,415 287,581 616,245 862,743 1,437,905 4,313,715

Collatz Trajectory (105 steps to reach 1)

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

4,313,715 12,941,146 6,470,573 19,411,720 9,705,860 4,852,930 2,426,465 7,279,396 3,639,698 1,819,849 5,459,548 2,729,774 1,364,887 4,094,662 2,047,331 6,141,994 3,070,997 9,212,992 4,606,496 2,303,248 1,151,624 575,812 287,906 143,953 431,860 215,930 107,965 323,896 161,948 80,974 40,487 121,462 60,731 182,194 91,097 273,292 136,646 68,323 204,970 102,485 307,456 153,728 76,864 38,432 19,216 9,608 4,804 2,402 1,201 3,604 1,802 901 2,704 1,352 676 338 169 508 254 127

More profiles

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