7,746,174

2 × 3² × 430343

7,746,174 has digital root 9. The neighboring primes are 7746173 and 7746181; its proper-divisor sum differs from the starting integer by 1,291,068.

Prime Factor Structure

Factorization String 2 × 3^2 × 430343

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 16,783,416

Proper Divisor Sum 9,037,242

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #7746173 ← → #7746181

Radix Representation

Decimal	7746174
Binary	11101100011001001111110 (23 bits)
Octal	0o35431176
Hexadecimal	0x76327E

Divisor Catalog (12)

1 2 3 6 9 18 430,343 860,686 1,291,029 2,582,058 3,873,087 7,746,174

Collatz Trajectory (186 steps to reach 1)

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

7,746,174 3,873,087 11,619,262 5,809,631 17,428,894 8,714,447 26,143,342 13,071,671 39,215,014 19,607,507 58,822,522 29,411,261 88,233,784 44,116,892 22,058,446 11,029,223 33,087,670 16,543,835 49,631,506 24,815,753 74,447,260 37,223,630 18,611,815 55,835,446 27,917,723 83,753,170 41,876,585 125,629,756 62,814,878 31,407,439 94,222,318 47,111,159 141,333,478 70,666,739 212,000,218 106,000,109 318,000,328 159,000,164 79,500,082 39,750,041 119,250,124 59,625,062 29,812,531 89,437,594 44,718,797 134,156,392 67,078,196 33,539,098 16,769,549 50,308,648 25,154,324 12,577,162 6,288,581 18,865,744 9,432,872 4,716,436 2,358,218 1,179,109 3,537,328 1,768,664

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