λ
Harmonic Matrix

9,142,377

3 × 409 × 7451
Deficient Odd Composite

9,142,377 has digital root 6. The neighboring primes are 9142373 and 9142391; its proper-divisor sum differs from the starting integer by -6,063,474.

Prime Factor Structure

Factorization String 3 × 409 × 7451
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 12,221,280
Proper Divisor Sum 3,078,903
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9142373 ← → #9142391

Radix Representation

Decimal 9142377
Binary 100010111000000001101001 (24 bits)
Octal 0o42700151
Hexadecimal 0x8B8069

Divisor Catalog (8)

1 3 409 1,227 7,451 22,353 3,047,459 9,142,377

Collatz Trajectory (80 steps to reach 1)

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

9,142,377 27,427,132 13,713,566 6,856,783 20,570,350 10,285,175 30,855,526 15,427,763 46,283,290 23,141,645 69,424,936 34,712,468 17,356,234 8,678,117 26,034,352 13,017,176 6,508,588 3,254,294 1,627,147 4,881,442 2,440,721 7,322,164 3,661,082 1,830,541 5,491,624 2,745,812 1,372,906 686,453 2,059,360 1,029,680 514,840 257,420 128,710 64,355 193,066 96,533 289,600 144,800 72,400 36,200 18,100 9,050 4,525 13,576 6,788 3,394 1,697 5,092 2,546 1,273 3,820 1,910 955 2,866 1,433 4,300 2,150 1,075 3,226 1,613

More profiles

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