λ
Harmonic Matrix

8,976,574

2 × 97 × 46271
Deficient Even Composite

8,976,574 has digital root 1. The neighboring primes are 8976559 and 8976587; its proper-divisor sum differs from the starting integer by -4,349,180.

Prime Factor Structure

Factorization String 2 × 97 × 46271
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 13,603,968
Proper Divisor Sum 4,627,394
Digit Sum / Digital Root 46 (Root: 1)
Adjacent Primes #8976559 ← → #8976587

Radix Representation

Decimal 8976574
Binary 100010001111100010111110 (24 bits)
Octal 0o42174276
Hexadecimal 0x88F8BE

Divisor Catalog (8)

1 2 97 194 46,271 92,542 4,488,287 8,976,574

Collatz Trajectory (150 steps to reach 1)

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

8,976,574 4,488,287 13,464,862 6,732,431 20,197,294 10,098,647 30,295,942 15,147,971 45,443,914 22,721,957 68,165,872 34,082,936 17,041,468 8,520,734 4,260,367 12,781,102 6,390,551 19,171,654 9,585,827 28,757,482 14,378,741 43,136,224 21,568,112 10,784,056 5,392,028 2,696,014 1,348,007 4,044,022 2,022,011 6,066,034 3,033,017 9,099,052 4,549,526 2,274,763 6,824,290 3,412,145 10,236,436 5,118,218 2,559,109 7,677,328 3,838,664 1,919,332 959,666 479,833 1,439,500 719,750 359,875 1,079,626 539,813 1,619,440 809,720 404,860 202,430 101,215 303,646 151,823 455,470 227,735 683,206 341,603

More profiles

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