λ
Harmonic Matrix

8,726,474

2 × 17 × 256661
Deficient Even Composite

8,726,474 has digital root 2. The neighboring primes are 8726467 and 8726479; its proper-divisor sum differs from the starting integer by -3,593,200.

Prime Factor Structure

Factorization String 2 × 17 × 256661
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 13,859,748
Proper Divisor Sum 5,133,274
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #8726467 ← → #8726479

Radix Representation

Decimal 8726474
Binary 100001010010011111001010 (24 bits)
Octal 0o41223712
Hexadecimal 0x8527CA

Divisor Catalog (8)

1 2 17 34 256,661 513,322 4,363,237 8,726,474

Collatz Trajectory (150 steps to reach 1)

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

8,726,474 4,363,237 13,089,712 6,544,856 3,272,428 1,636,214 818,107 2,454,322 1,227,161 3,681,484 1,840,742 920,371 2,761,114 1,380,557 4,141,672 2,070,836 1,035,418 517,709 1,553,128 776,564 388,282 194,141 582,424 291,212 145,606 72,803 218,410 109,205 327,616 163,808 81,904 40,952 20,476 10,238 5,119 15,358 7,679 23,038 11,519 34,558 17,279 51,838 25,919 77,758 38,879 116,638 58,319 174,958 87,479 262,438 131,219 393,658 196,829 590,488 295,244 147,622 73,811 221,434 110,717 332,152

More profiles

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