7,807,007

13 × 223 × 2693

For 7,807,007, the 8 positive divisors have a total of 8,448,384. Removing 7,807,007 leaves 641,377, which gives the deficient classification.

Prime Factor Structure

Factorization String 13 × 223 × 2693

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 8,448,384

Proper Divisor Sum 641,377

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #7807001 ← → #7807013

Radix Representation

Decimal	7807007
Binary	11101110010000000011111 (23 bits)
Octal	0o35620037
Hexadecimal	0x77201F

Divisor Catalog (8)

1 13 223 2,693 2,899 35,009 600,539 7,807,007

Collatz Trajectory (230 steps to reach 1)

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

7,807,007 23,421,022 11,710,511 35,131,534 17,565,767 52,697,302 26,348,651 79,045,954 39,522,977 118,568,932 59,284,466 29,642,233 88,926,700 44,463,350 22,231,675 66,695,026 33,347,513 100,042,540 50,021,270 25,010,635 75,031,906 37,515,953 112,547,860 56,273,930 28,136,965 84,410,896 42,205,448 21,102,724 10,551,362 5,275,681 15,827,044 7,913,522 3,956,761 11,870,284 5,935,142 2,967,571 8,902,714 4,451,357 13,354,072 6,677,036 3,338,518 1,669,259 5,007,778 2,503,889 7,511,668 3,755,834 1,877,917 5,633,752 2,816,876 1,408,438 704,219 2,112,658 1,056,329 3,168,988 1,584,494 792,247 2,376,742 1,188,371 3,565,114 1,782,557

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