λ
Harmonic Matrix

8,612,073

32 × 19 × 50363
Deficient Odd Composite

8,612,073 has digital root 9. The neighboring primes are 8612059 and 8612089; its proper-divisor sum differs from the starting integer by -4,129,506.

Prime Factor Structure

Factorization String 3^2 × 19 × 50363
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 13,094,640
Proper Divisor Sum 4,482,567
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #8612059 ← → #8612089

Radix Representation

Decimal 8612073
Binary 100000110110100011101001 (24 bits)
Octal 0o40664351
Hexadecimal 0x8368E9

Divisor Catalog (12)

1 3 9 19 57 171 50,363 151,089 453,267 956,897 2,870,691 8,612,073

Collatz Trajectory (243 steps to reach 1)

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

8,612,073 25,836,220 12,918,110 6,459,055 19,377,166 9,688,583 29,065,750 14,532,875 43,598,626 21,799,313 65,397,940 32,698,970 16,349,485 49,048,456 24,524,228 12,262,114 6,131,057 18,393,172 9,196,586 4,598,293 13,794,880 6,897,440 3,448,720 1,724,360 862,180 431,090 215,545 646,636 323,318 161,659 484,978 242,489 727,468 363,734 181,867 545,602 272,801 818,404 409,202 204,601 613,804 306,902 153,451 460,354 230,177 690,532 345,266 172,633 517,900 258,950 129,475 388,426 194,213 582,640 291,320 145,660 72,830 36,415 109,246 54,623

More profiles

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