λ
Harmonic Matrix

1,713,556

22 × 13 × 31 × 1063
Deficient Even Composite

1,713,556 has digital root 1. The neighboring primes are 1713541 and 1713557; its proper-divisor sum differs from the starting integer by -90,408.

Prime Factor Structure

Factorization String 2^2 × 13 × 31 × 1063
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 3,336,704
Proper Divisor Sum 1,623,148
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #1713541 ← → #1713557

Radix Representation

Decimal 1713556
Binary 110100010010110010100 (21 bits)
Octal 0o6422624
Hexadecimal 0x1A2594

Divisor Catalog (24)

1 2 4 13 26 31 52 62 124 403 806 1,063 1,612 2,126 4,252 13,819 27,638 32,953 55,276 65,906 131,812 428,389 856,778 1,713,556

Collatz Trajectory (75 steps to reach 1)

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

1,713,556 856,778 428,389 1,285,168 642,584 321,292 160,646 80,323 240,970 120,485 361,456 180,728 90,364 45,182 22,591 67,774 33,887 101,662 50,831 152,494 76,247 228,742 114,371 343,114 171,557 514,672 257,336 128,668 64,334 32,167 96,502 48,251 144,754 72,377 217,132 108,566 54,283 162,850 81,425 244,276 122,138 61,069 183,208 91,604 45,802 22,901 68,704 34,352 17,176 8,588 4,294 2,147 6,442 3,221 9,664 4,832 2,416 1,208 604 302

More profiles

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