λ
Harmonic Matrix

9,391,750

2 × 53 × 37567
Deficient Even Composite

9,391,750 has digital root 7. The neighboring primes are 9391727 and 9391763; its proper-divisor sum differs from the starting integer by -1,201,676.

Prime Factor Structure

Factorization String 2 × 5^3 × 37567
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 17,581,824
Proper Divisor Sum 8,190,074
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #9391727 ← → #9391763

Radix Representation

Decimal 9391750
Binary 100011110100111010000110 (24 bits)
Octal 0o43647206
Hexadecimal 0x8F4E86

Divisor Catalog (16)

1 2 5 10 25 50 125 250 37,567 75,134 187,835 375,670 939,175 1,878,350 4,695,875 9,391,750

Collatz Trajectory (207 steps to reach 1)

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

9,391,750 4,695,875 14,087,626 7,043,813 21,131,440 10,565,720 5,282,860 2,641,430 1,320,715 3,962,146 1,981,073 5,943,220 2,971,610 1,485,805 4,457,416 2,228,708 1,114,354 557,177 1,671,532 835,766 417,883 1,253,650 626,825 1,880,476 940,238 470,119 1,410,358 705,179 2,115,538 1,057,769 3,173,308 1,586,654 793,327 2,379,982 1,189,991 3,569,974 1,784,987 5,354,962 2,677,481 8,032,444 4,016,222 2,008,111 6,024,334 3,012,167 9,036,502 4,518,251 13,554,754 6,777,377 20,332,132 10,166,066 5,083,033 15,249,100 7,624,550 3,812,275 11,436,826 5,718,413 17,155,240 8,577,620 4,288,810 2,144,405

More profiles

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