λ
Harmonic Matrix

701,596

22 × 7 × 25057
Abundant Even Composite

701,596 has digital root 1. The neighboring primes are 701593 and 701609; its proper-divisor sum differs from the starting integer by 56.

Prime Factor Structure

Factorization String 2^2 × 7 × 25057
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 1,403,248
Proper Divisor Sum 701,652
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #701593 ← → #701609

Radix Representation

Decimal 701596
Binary 10101011010010011100 (20 bits)
Octal 0o2532234
Hexadecimal 0xAB49C

Divisor Catalog (12)

1 2 4 7 14 28 25,057 50,114 100,228 175,399 350,798 701,596

Collatz Trajectory (167 steps to reach 1)

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

701,596 350,798 175,399 526,198 263,099 789,298 394,649 1,183,948 591,974 295,987 887,962 443,981 1,331,944 665,972 332,986 166,493 499,480 249,740 124,870 62,435 187,306 93,653 280,960 140,480 70,240 35,120 17,560 8,780 4,390 2,195 6,586 3,293 9,880 4,940 2,470 1,235 3,706 1,853 5,560 2,780 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248 124

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