λ
Harmonic Matrix

1,597,317

3 × 532439
Deficient Odd Composite

1,597,317 has digital root 6. The neighboring primes are 1597289 and 1597331; its proper-divisor sum differs from the starting integer by -1,064,874.

Prime Factor Structure

Factorization String 3 × 532439
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 2,129,760
Proper Divisor Sum 532,443
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #1597289 ← → #1597331

Radix Representation

Decimal 1597317
Binary 110000101111110000101 (21 bits)
Octal 0o6057605
Hexadecimal 0x185F85

Divisor Catalog (4)

1 3 532,439 1,597,317

Collatz Trajectory (194 steps to reach 1)

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

1,597,317 4,791,952 2,395,976 1,197,988 598,994 299,497 898,492 449,246 224,623 673,870 336,935 1,010,806 505,403 1,516,210 758,105 2,274,316 1,137,158 568,579 1,705,738 852,869 2,558,608 1,279,304 639,652 319,826 159,913 479,740 239,870 119,935 359,806 179,903 539,710 269,855 809,566 404,783 1,214,350 607,175 1,821,526 910,763 2,732,290 1,366,145 4,098,436 2,049,218 1,024,609 3,073,828 1,536,914 768,457 2,305,372 1,152,686 576,343 1,729,030 864,515 2,593,546 1,296,773 3,890,320 1,945,160 972,580 486,290 243,145 729,436 364,718

More profiles

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