λ
Harmonic Matrix

9,587,417

7 × 461 × 2971
Deficient Odd Composite

9,587,417 has digital root 5. The neighboring primes are 9587407 and 9587423; its proper-divisor sum differs from the starting integer by -8,190,322.

Prime Factor Structure

Factorization String 7 × 461 × 2971
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,984,512
Proper Divisor Sum 1,397,095
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #9587407 ← → #9587423

Radix Representation

Decimal 9587417
Binary 100100100100101011011001 (24 bits)
Octal 0o44445331
Hexadecimal 0x924AD9

Divisor Catalog (8)

1 7 461 2,971 3,227 20,797 1,369,631 9,587,417

Collatz Trajectory (145 steps to reach 1)

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

9,587,417 28,762,252 14,381,126 7,190,563 21,571,690 10,785,845 32,357,536 16,178,768 8,089,384 4,044,692 2,022,346 1,011,173 3,033,520 1,516,760 758,380 379,190 189,595 568,786 284,393 853,180 426,590 213,295 639,886 319,943 959,830 479,915 1,439,746 719,873 2,159,620 1,079,810 539,905 1,619,716 809,858 404,929 1,214,788 607,394 303,697 911,092 455,546 227,773 683,320 341,660 170,830 85,415 256,246 128,123 384,370 192,185 576,556 288,278 144,139 432,418 216,209 648,628 324,314 162,157 486,472 243,236 121,618 60,809

More profiles

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