λ
Harmonic Matrix

9,407,681

17 × 109 × 5077
Deficient Odd Composite

9,407,681 has digital root 8. The neighboring primes are 9407677 and 9407683; its proper-divisor sum differs from the starting integer by -8,760,922.

Prime Factor Structure

Factorization String 17 × 109 × 5077
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,054,440
Proper Divisor Sum 646,759
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #9407677 ← → #9407683

Radix Representation

Decimal 9407681
Binary 100011111000110011000001 (24 bits)
Octal 0o43706301
Hexadecimal 0x8F8CC1

Divisor Catalog (8)

1 17 109 1,853 5,077 86,309 553,393 9,407,681

Collatz Trajectory (194 steps to reach 1)

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

9,407,681 28,223,044 14,111,522 7,055,761 21,167,284 10,583,642 5,291,821 15,875,464 7,937,732 3,968,866 1,984,433 5,953,300 2,976,650 1,488,325 4,464,976 2,232,488 1,116,244 558,122 279,061 837,184 418,592 209,296 104,648 52,324 26,162 13,081 39,244 19,622 9,811 29,434 14,717 44,152 22,076 11,038 5,519 16,558 8,279 24,838 12,419 37,258 18,629 55,888 27,944 13,972 6,986 3,493 10,480 5,240 2,620 1,310 655 1,966 983 2,950 1,475 4,426 2,213 6,640 3,320 1,660

More profiles

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