λ
Harmonic Matrix

9,210,417

3 × 3070139
Deficient Odd Composite

9,210,417 has digital root 6. The neighboring primes are 9210389 and 9210437; its proper-divisor sum differs from the starting integer by -6,140,274.

Prime Factor Structure

Factorization String 3 × 3070139
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 12,280,560
Proper Divisor Sum 3,070,143
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #9210389 ← → #9210437

Radix Representation

Decimal 9210417
Binary 100011001000101000110001 (24 bits)
Octal 0o43105061
Hexadecimal 0x8C8A31

Divisor Catalog (4)

1 3 3,070,139 9,210,417

Collatz Trajectory (101 steps to reach 1)

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

9,210,417 27,631,252 13,815,626 6,907,813 20,723,440 10,361,720 5,180,860 2,590,430 1,295,215 3,885,646 1,942,823 5,828,470 2,914,235 8,742,706 4,371,353 13,114,060 6,557,030 3,278,515 9,835,546 4,917,773 14,753,320 7,376,660 3,688,330 1,844,165 5,532,496 2,766,248 1,383,124 691,562 345,781 1,037,344 518,672 259,336 129,668 64,834 32,417 97,252 48,626 24,313 72,940 36,470 18,235 54,706 27,353 82,060 41,030 20,515 61,546 30,773 92,320 46,160 23,080 11,540 5,770 2,885 8,656 4,328 2,164 1,082 541 1,624

More profiles

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