λ
Harmonic Matrix

9,523,874

2 × 37 × 179 × 719
Deficient Even Composite

9,523,874 has digital root 2. The neighboring primes are 9523873 and 9523897; its proper-divisor sum differs from the starting integer by -4,273,348.

Prime Factor Structure

Factorization String 2 × 37 × 179 × 719
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 14,774,400
Proper Divisor Sum 5,250,526
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #9523873 ← → #9523897

Radix Representation

Decimal 9523874
Binary 100100010101001010100010 (24 bits)
Octal 0o44251242
Hexadecimal 0x9152A2

Divisor Catalog (16)

1 2 37 74 179 358 719 1,438 6,623 13,246 26,603 53,206 128,701 257,402 4,761,937 9,523,874

Collatz Trajectory (269 steps to reach 1)

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

9,523,874 4,761,937 14,285,812 7,142,906 3,571,453 10,714,360 5,357,180 2,678,590 1,339,295 4,017,886 2,008,943 6,026,830 3,013,415 9,040,246 4,520,123 13,560,370 6,780,185 20,340,556 10,170,278 5,085,139 15,255,418 7,627,709 22,883,128 11,441,564 5,720,782 2,860,391 8,581,174 4,290,587 12,871,762 6,435,881 19,307,644 9,653,822 4,826,911 14,480,734 7,240,367 21,721,102 10,860,551 32,581,654 16,290,827 48,872,482 24,436,241 73,308,724 36,654,362 18,327,181 54,981,544 27,490,772 13,745,386 6,872,693 20,618,080 10,309,040 5,154,520 2,577,260 1,288,630 644,315 1,932,946 966,473 2,899,420 1,449,710 724,855 2,174,566

More profiles

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