7,764,257

17 × 29 × 15749

7,764,257 has digital root 2. The neighboring primes are 7764247 and 7764283; its proper-divisor sum differs from the starting integer by -7,023,514.

Prime Factor Structure

Factorization String 17 × 29 × 15749

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 8,505,000

Proper Divisor Sum 740,743

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #7764247 ← → #7764283

Radix Representation

Decimal	7764257
Binary	11101100111100100100001 (23 bits)
Octal	0o35474441
Hexadecimal	0x767921

Divisor Catalog (8)

1 17 29 493 15,749 267,733 456,721 7,764,257

Collatz Trajectory (93 steps to reach 1)

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

7,764,257 23,292,772 11,646,386 5,823,193 17,469,580 8,734,790 4,367,395 13,102,186 6,551,093 19,653,280 9,826,640 4,913,320 2,456,660 1,228,330 614,165 1,842,496 921,248 460,624 230,312 115,156 57,578 28,789 86,368 43,184 21,592 10,796 5,398 2,699 8,098 4,049 12,148 6,074 3,037 9,112 4,556 2,278 1,139 3,418 1,709 5,128 2,564 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376

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