λ
Harmonic Matrix

8,518,780

22 × 5 × 425939
Abundant Even Composite

8,518,780 has digital root 1. The neighboring primes are 8518771 and 8518781; its proper-divisor sum differs from the starting integer by 851,920.

Prime Factor Structure

Factorization String 2^2 × 5 × 425939
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 17,889,480
Proper Divisor Sum 9,370,700
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #8518771 ← → #8518781

Radix Representation

Decimal 8518780
Binary 100000011111110001111100 (24 bits)
Octal 0o40376174
Hexadecimal 0x81FC7C

Divisor Catalog (12)

1 2 4 5 10 20 425,939 851,878 1,703,756 2,129,695 4,259,390 8,518,780

Collatz Trajectory (98 steps to reach 1)

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

8,518,780 4,259,390 2,129,695 6,389,086 3,194,543 9,583,630 4,791,815 14,375,446 7,187,723 21,563,170 10,781,585 32,344,756 16,172,378 8,086,189 24,258,568 12,129,284 6,064,642 3,032,321 9,096,964 4,548,482 2,274,241 6,822,724 3,411,362 1,705,681 5,117,044 2,558,522 1,279,261 3,837,784 1,918,892 959,446 479,723 1,439,170 719,585 2,158,756 1,079,378 539,689 1,619,068 809,534 404,767 1,214,302 607,151 1,821,454 910,727 2,732,182 1,366,091 4,098,274 2,049,137 6,147,412 3,073,706 1,536,853 4,610,560 2,305,280 1,152,640 576,320 288,160 144,080 72,040 36,020 18,010 9,005

More profiles

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