856,609

13 × 131 × 503

856,609 factors as 13 × 131 × 503. Its 8 positive divisors give a proper-divisor sum of 74,783, so this integer is deficient. The Collatz stopping time is 100 steps.

Prime Factor Structure

Factorization String 13 × 131 × 503

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 931,392

Proper Divisor Sum 74,783

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #856571 ← → #856627

Radix Representation

Decimal	856609
Binary	11010001001000100001 (20 bits)
Octal	0o3211041
Hexadecimal	0xD1221

Divisor Catalog (8)

1 13 131 503 1,703 6,539 65,893 856,609

Collatz Trajectory (100 steps to reach 1)

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

856,609 2,569,828 1,284,914 642,457 1,927,372 963,686 481,843 1,445,530 722,765 2,168,296 1,084,148 542,074 271,037 813,112 406,556 203,278 101,639 304,918 152,459 457,378 228,689 686,068 343,034 171,517 514,552 257,276 128,638 64,319 192,958 96,479 289,438 144,719 434,158 217,079 651,238 325,619 976,858 488,429 1,465,288 732,644 366,322 183,161 549,484 274,742 137,371 412,114 206,057 618,172 309,086 154,543 463,630 231,815 695,446 347,723 1,043,170 521,585 1,564,756 782,378 391,189 1,173,568

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