7,315,730

2 × 5 × 61 × 67 × 179

For 7,315,730, the 32 positive divisors have a total of 13,659,840. Removing 7,315,730 leaves 6,344,110, which gives the deficient classification.

Prime Factor Structure

Factorization String 2 × 5 × 61 × 67 × 179

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 13,659,840

Proper Divisor Sum 6,344,110

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #7315727 ← → #7315739

Radix Representation

Decimal	7315730
Binary	11011111010000100010010 (23 bits)
Octal	0o33720422
Hexadecimal	0x6FA112

Divisor Catalog (32)

1 2 5 10 61 67 122 134 179 305 335 358 610 670 895 1,790 4,087 8,174 10,919 11,993 20,435 21,838 23,986 40,870 54,595 59,965 109,190 119,930 731,573 1,463,146 3,657,865 7,315,730

Collatz Trajectory (204 steps to reach 1)

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

7,315,730 3,657,865 10,973,596 5,486,798 2,743,399 8,230,198 4,115,099 12,345,298 6,172,649 18,517,948 9,258,974 4,629,487 13,888,462 6,944,231 20,832,694 10,416,347 31,249,042 15,624,521 46,873,564 23,436,782 11,718,391 35,155,174 17,577,587 52,732,762 26,366,381 79,099,144 39,549,572 19,774,786 9,887,393 29,662,180 14,831,090 7,415,545 22,246,636 11,123,318 5,561,659 16,684,978 8,342,489 25,027,468 12,513,734 6,256,867 18,770,602 9,385,301 28,155,904 14,077,952 7,038,976 3,519,488 1,759,744 879,872 439,936 219,968 109,984 54,992 27,496 13,748 6,874 3,437 10,312 5,156 2,578 1,289

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