λ
Harmonic Matrix

8,489,978

2 × 7 × 577 × 1051
Deficient Even Composite

8,489,978 has digital root 8. The neighboring primes are 8489969 and 8490019; its proper-divisor sum differs from the starting integer by -2,386,612.

Prime Factor Structure

Factorization String 2 × 7 × 577 × 1051
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 14,593,344
Proper Divisor Sum 6,103,366
Digit Sum / Digital Root 53 (Root: 8)
Adjacent Primes #8489969 ← → #8490019

Radix Representation

Decimal 8489978
Binary 100000011000101111111010 (24 bits)
Octal 0o40305772
Hexadecimal 0x818BFA

Divisor Catalog (16)

1 2 7 14 577 1,051 1,154 2,102 4,039 7,357 8,078 14,714 606,427 1,212,854 4,244,989 8,489,978

Collatz Trajectory (106 steps to reach 1)

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

8,489,978 4,244,989 12,734,968 6,367,484 3,183,742 1,591,871 4,775,614 2,387,807 7,163,422 3,581,711 10,745,134 5,372,567 16,117,702 8,058,851 24,176,554 12,088,277 36,264,832 18,132,416 9,066,208 4,533,104 2,266,552 1,133,276 566,638 283,319 849,958 424,979 1,274,938 637,469 1,912,408 956,204 478,102 239,051 717,154 358,577 1,075,732 537,866 268,933 806,800 403,400 201,700 100,850 50,425 151,276 75,638 37,819 113,458 56,729 170,188 85,094 42,547 127,642 63,821 191,464 95,732 47,866 23,933 71,800 35,900 17,950 8,975

More profiles

← Previous Integer #8,489,977 Browse Full Index Next Integer #8,489,979 →