λ
Harmonic Matrix

5,608,596

22 × 3 × 7 × 23 × 2903
Abundant Even Composite

5,608,596 has digital root 3. The neighboring primes are 5608579 and 5608597; its proper-divisor sum differs from the starting integer by 4,394,712.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 23 × 2903
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 15,611,904
Proper Divisor Sum 10,003,308
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #5608579 ← → #5608597

Radix Representation

Decimal 5608596
Binary 10101011001010010010100 (23 bits)
Octal 0o25312224
Hexadecimal 0x559494

Divisor Catalog (48)

1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 138 161 276 322 483 644 966 1,932 2,903 5,806 8,709 11,612 17,418 20,321 34,836 40,642 60,963 66,769 81,284 121,926 133,538 200,307 243,852 267,076 400,614 467,383 801,228 934,766 1,402,149 1,869,532 2,804,298 5,608,596

Collatz Trajectory (170 steps to reach 1)

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

5,608,596 2,804,298 1,402,149 4,206,448 2,103,224 1,051,612 525,806 262,903 788,710 394,355 1,183,066 591,533 1,774,600 887,300 443,650 221,825 665,476 332,738 166,369 499,108 249,554 124,777 374,332 187,166 93,583 280,750 140,375 421,126 210,563 631,690 315,845 947,536 473,768 236,884 118,442 59,221 177,664 88,832 44,416 22,208 11,104 5,552 2,776 1,388 694 347 1,042 521 1,564 782 391 1,174 587 1,762 881 2,644 1,322 661 1,984 992

More profiles

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