6,308,007

3 × 53 × 97 × 409

For 6,308,007, the 16 positive divisors have a total of 8,678,880. Removing 6,308,007 leaves 2,370,873, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 53 × 97 × 409

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 8,678,880

Proper Divisor Sum 2,370,873

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #6307979 ← → #6308017

Radix Representation

Decimal	6308007
Binary	11000000100000010100111 (23 bits)
Octal	0o30040247
Hexadecimal	0x6040A7

Divisor Catalog (16)

1 3 53 97 159 291 409 1,227 5,141 15,423 21,677 39,673 65,031 119,019 2,102,669 6,308,007

Collatz Trajectory (152 steps to reach 1)

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

6,308,007 18,924,022 9,462,011 28,386,034 14,193,017 42,579,052 21,289,526 10,644,763 31,934,290 15,967,145 47,901,436 23,950,718 11,975,359 35,926,078 17,963,039 53,889,118 26,944,559 80,833,678 40,416,839 121,250,518 60,625,259 181,875,778 90,937,889 272,813,668 136,406,834 68,203,417 204,610,252 102,305,126 51,152,563 153,457,690 76,728,845 230,186,536 115,093,268 57,546,634 28,773,317 86,319,952 43,159,976 21,579,988 10,789,994 5,394,997 16,184,992 8,092,496 4,046,248 2,023,124 1,011,562 505,781 1,517,344 758,672 379,336 189,668 94,834 47,417 142,252 71,126 35,563 106,690 53,345 160,036 80,018 40,009

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