7,792,748

2² × 1948187

7,792,748 has digital root 8. The neighboring primes are 7792739 and 7792769; its proper-divisor sum differs from the starting integer by -1,948,180.

Prime Factor Structure

Factorization String 2^2 × 1948187

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 13,637,316

Proper Divisor Sum 5,844,568

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #7792739 ← → #7792769

Radix Representation

Decimal	7792748
Binary	11101101110100001101100 (23 bits)
Octal	0o35564154
Hexadecimal	0x76E86C

Divisor Catalog (6)

1 2 4 1,948,187 3,896,374 7,792,748

Collatz Trajectory (323 steps to reach 1)

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

7,792,748 3,896,374 1,948,187 5,844,562 2,922,281 8,766,844 4,383,422 2,191,711 6,575,134 3,287,567 9,862,702 4,931,351 14,794,054 7,397,027 22,191,082 11,095,541 33,286,624 16,643,312 8,321,656 4,160,828 2,080,414 1,040,207 3,120,622 1,560,311 4,680,934 2,340,467 7,021,402 3,510,701 10,532,104 5,266,052 2,633,026 1,316,513 3,949,540 1,974,770 987,385 2,962,156 1,481,078 740,539 2,221,618 1,110,809 3,332,428 1,666,214 833,107 2,499,322 1,249,661 3,748,984 1,874,492 937,246 468,623 1,405,870 702,935 2,108,806 1,054,403 3,163,210 1,581,605 4,744,816 2,372,408 1,186,204 593,102 296,551

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