λ
Harmonic Matrix

9,396,908

22 × 337 × 6971
Deficient Even Composite

9,396,908 has digital root 8. The neighboring primes are 9396901 and 9396911; its proper-divisor sum differs from the starting integer by -2,298,064.

Prime Factor Structure

Factorization String 2^2 × 337 × 6971
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 16,495,752
Proper Divisor Sum 7,098,844
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #9396901 ← → #9396911

Radix Representation

Decimal 9396908
Binary 100011110110001010101100 (24 bits)
Octal 0o43661254
Hexadecimal 0x8F62AC

Divisor Catalog (12)

1 2 4 337 674 1,348 6,971 13,942 27,884 2,349,227 4,698,454 9,396,908

Collatz Trajectory (181 steps to reach 1)

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

9,396,908 4,698,454 2,349,227 7,047,682 3,523,841 10,571,524 5,285,762 2,642,881 7,928,644 3,964,322 1,982,161 5,946,484 2,973,242 1,486,621 4,459,864 2,229,932 1,114,966 557,483 1,672,450 836,225 2,508,676 1,254,338 627,169 1,881,508 940,754 470,377 1,411,132 705,566 352,783 1,058,350 529,175 1,587,526 793,763 2,381,290 1,190,645 3,571,936 1,785,968 892,984 446,492 223,246 111,623 334,870 167,435 502,306 251,153 753,460 376,730 188,365 565,096 282,548 141,274 70,637 211,912 105,956 52,978 26,489 79,468 39,734 19,867 59,602

More profiles

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