λ
Harmonic Matrix

8,491,077

32 × 7 × 53 × 2543
Deficient Odd Composite

8,491,077 has digital root 9. The neighboring primes are 8491073 and 8491097; its proper-divisor sum differs from the starting integer by -2,695,050.

Prime Factor Structure

Factorization String 3^2 × 7 × 53 × 2543
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 14,287,104
Proper Divisor Sum 5,796,027
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #8491073 ← → #8491097

Radix Representation

Decimal 8491077
Binary 100000011001000001000101 (24 bits)
Octal 0o40310105
Hexadecimal 0x819045

Divisor Catalog (24)

1 3 7 9 21 53 63 159 371 477 1,113 2,543 3,339 7,629 17,801 22,887 53,403 134,779 160,209 404,337 943,453 1,213,011 2,830,359 8,491,077

Collatz Trajectory (75 steps to reach 1)

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

8,491,077 25,473,232 12,736,616 6,368,308 3,184,154 1,592,077 4,776,232 2,388,116 1,194,058 597,029 1,791,088 895,544 447,772 223,886 111,943 335,830 167,915 503,746 251,873 755,620 377,810 188,905 566,716 283,358 141,679 425,038 212,519 637,558 318,779 956,338 478,169 1,434,508 717,254 358,627 1,075,882 537,941 1,613,824 806,912 403,456 201,728 100,864 50,432 25,216 12,608 6,304 3,152 1,576 788 394 197 592 296 148 74 37 112 56 28 14 7

More profiles

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