8,007,978

2 × 3 × 11 × 121333

8,007,978 has digital root 3. The neighboring primes are 8007943 and 8007991; its proper-divisor sum differs from the starting integer by 1,456,140.

Prime Factor Structure

Factorization String 2 × 3 × 11 × 121333

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 17,472,096

Proper Divisor Sum 9,464,118

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #8007943 ← → #8007991

Radix Representation

Decimal	8007978
Binary	11110100011000100101010 (23 bits)
Octal	0o36430452
Hexadecimal	0x7A312A

Divisor Catalog (16)

1 2 3 6 11 22 33 66 121,333 242,666 363,999 727,998 1,334,663 2,669,326 4,003,989 8,007,978

Collatz Trajectory (93 steps to reach 1)

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

8,007,978 4,003,989 12,011,968 6,005,984 3,002,992 1,501,496 750,748 375,374 187,687 563,062 281,531 844,594 422,297 1,266,892 633,446 316,723 950,170 475,085 1,425,256 712,628 356,314 178,157 534,472 267,236 133,618 66,809 200,428 100,214 50,107 150,322 75,161 225,484 112,742 56,371 169,114 84,557 253,672 126,836 63,418 31,709 95,128 47,564 23,782 11,891 35,674 17,837 53,512 26,756 13,378 6,689 20,068 10,034 5,017 15,052 7,526 3,763 11,290 5,645 16,936 8,468

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