7,737,842

2 × 7 × 552703

7,737,842 has digital root 2. The neighboring primes are 7737833 and 7737859; its proper-divisor sum differs from the starting integer by -2,210,788.

Prime Factor Structure

Factorization String 2 × 7 × 552703

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 13,264,896

Proper Divisor Sum 5,527,054

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #7737833 ← → #7737859

Radix Representation

Decimal	7737842
Binary	11101100001000111110010 (23 bits)
Octal	0o35410762
Hexadecimal	0x7611F2

Divisor Catalog (8)

1 2 7 14 552,703 1,105,406 3,868,921 7,737,842

Collatz Trajectory (217 steps to reach 1)

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

7,737,842 3,868,921 11,606,764 5,803,382 2,901,691 8,705,074 4,352,537 13,057,612 6,528,806 3,264,403 9,793,210 4,896,605 14,689,816 7,344,908 3,672,454 1,836,227 5,508,682 2,754,341 8,263,024 4,131,512 2,065,756 1,032,878 516,439 1,549,318 774,659 2,323,978 1,161,989 3,485,968 1,742,984 871,492 435,746 217,873 653,620 326,810 163,405 490,216 245,108 122,554 61,277 183,832 91,916 45,958 22,979 68,938 34,469 103,408 51,704 25,852 12,926 6,463 19,390 9,695 29,086 14,543 43,630 21,815 65,446 32,723 98,170 49,085

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