λ
Harmonic Matrix

1,523,970

2 × 32 × 5 × 7 × 41 × 59
Abundant Even Composite

1,523,970 has digital root 9. The neighboring primes are 1523969 and 1523981; its proper-divisor sum differs from the starting integer by 1,669,500.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 7 × 41 × 59
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 4,717,440
Proper Divisor Sum 3,193,470
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1523969 ← → #1523981

Radix Representation

Decimal 1523970
Binary 101110100000100000010 (21 bits)
Octal 0o5640402
Hexadecimal 0x174102

Divisor Catalog (60 of 96)

1 2 3 5 6 7 9 10 14 15 18 21 30 35 41 42 45 59 63 70 82 90 105 118 123 126 177 205 210 246 287 295 315 354 369 410 413 531 574 590 615 630 738 826 861 885 1,062 1,230 1,239 1,435 1,722 1,770 1,845 2,065 2,419 2,478 2,583 2,655 2,870 3,690

Collatz Trajectory (225 steps to reach 1)

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

1,523,970 761,985 2,285,956 1,142,978 571,489 1,714,468 857,234 428,617 1,285,852 642,926 321,463 964,390 482,195 1,446,586 723,293 2,169,880 1,084,940 542,470 271,235 813,706 406,853 1,220,560 610,280 305,140 152,570 76,285 228,856 114,428 57,214 28,607 85,822 42,911 128,734 64,367 193,102 96,551 289,654 144,827 434,482 217,241 651,724 325,862 162,931 488,794 244,397 733,192 366,596 183,298 91,649 274,948 137,474 68,737 206,212 103,106 51,553 154,660 77,330 38,665 115,996 57,998

More profiles

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