834,769

13 × 157 × 409

834,769 factors as 13 × 157 × 409. Its 8 positive divisors give a proper-divisor sum of 72,151, so this integer is deficient. The Collatz stopping time is 87 steps.

Prime Factor Structure

Factorization String 13 × 157 × 409

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 906,920

Proper Divisor Sum 72,151

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #834761 ← → #834773

Radix Representation

Decimal	834769
Binary	11001011110011010001 (20 bits)
Octal	0o3136321
Hexadecimal	0xCBCD1

Divisor Catalog (8)

1 13 157 409 2,041 5,317 64,213 834,769

Collatz Trajectory (87 steps to reach 1)

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

834,769 2,504,308 1,252,154 626,077 1,878,232 939,116 469,558 234,779 704,338 352,169 1,056,508 528,254 264,127 792,382 396,191 1,188,574 594,287 1,782,862 891,431 2,674,294 1,337,147 4,011,442 2,005,721 6,017,164 3,008,582 1,504,291 4,512,874 2,256,437 6,769,312 3,384,656 1,692,328 846,164 423,082 211,541 634,624 317,312 158,656 79,328 39,664 19,832 9,916 4,958 2,479 7,438 3,719 11,158 5,579 16,738 8,369 25,108 12,554 6,277 18,832 9,416 4,708 2,354 1,177 3,532 1,766 883

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