λ
Harmonic Matrix

1,604,015

5 × 72 × 6547
Deficient Odd Composite

1,604,015 has digital root 8. The neighboring primes are 1604003 and 1604017; its proper-divisor sum differs from the starting integer by -968,614.

Prime Factor Structure

Factorization String 5 × 7^2 × 6547
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 2,239,416
Proper Divisor Sum 635,401
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #1604003 ← → #1604017

Radix Representation

Decimal 1604015
Binary 110000111100110101111 (21 bits)
Octal 0o6074657
Hexadecimal 0x1879AF

Divisor Catalog (12)

1 5 7 35 49 245 6,547 32,735 45,829 229,145 320,803 1,604,015

Collatz Trajectory (132 steps to reach 1)

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

1,604,015 4,812,046 2,406,023 7,218,070 3,609,035 10,827,106 5,413,553 16,240,660 8,120,330 4,060,165 12,180,496 6,090,248 3,045,124 1,522,562 761,281 2,283,844 1,141,922 570,961 1,712,884 856,442 428,221 1,284,664 642,332 321,166 160,583 481,750 240,875 722,626 361,313 1,083,940 541,970 270,985 812,956 406,478 203,239 609,718 304,859 914,578 457,289 1,371,868 685,934 342,967 1,028,902 514,451 1,543,354 771,677 2,315,032 1,157,516 578,758 289,379 868,138 434,069 1,302,208 651,104 325,552 162,776 81,388 40,694 20,347 61,042

More profiles

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