λ
Harmonic Matrix

8,628,874

2 × 179 × 24103
Deficient Even Composite

8,628,874 has digital root 7. The neighboring primes are 8628859 and 8628883; its proper-divisor sum differs from the starting integer by -4,241,588.

Prime Factor Structure

Factorization String 2 × 179 × 24103
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 13,016,160
Proper Divisor Sum 4,387,286
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #8628859 ← → #8628883

Radix Representation

Decimal 8628874
Binary 100000111010101010001010 (24 bits)
Octal 0o40725212
Hexadecimal 0x83AA8A

Divisor Catalog (8)

1 2 179 358 24,103 48,206 4,314,437 8,628,874

Collatz Trajectory (212 steps to reach 1)

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

8,628,874 4,314,437 12,943,312 6,471,656 3,235,828 1,617,914 808,957 2,426,872 1,213,436 606,718 303,359 910,078 455,039 1,365,118 682,559 2,047,678 1,023,839 3,071,518 1,535,759 4,607,278 2,303,639 6,910,918 3,455,459 10,366,378 5,183,189 15,549,568 7,774,784 3,887,392 1,943,696 971,848 485,924 242,962 121,481 364,444 182,222 91,111 273,334 136,667 410,002 205,001 615,004 307,502 153,751 461,254 230,627 691,882 345,941 1,037,824 518,912 259,456 129,728 64,864 32,432 16,216 8,108 4,054 2,027 6,082 3,041 9,124

More profiles

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