λ
Harmonic Matrix

9,428,542

2 × 1429 × 3299
Deficient Even Composite

9,428,542 has digital root 7. The neighboring primes are 9428539 and 9428543; its proper-divisor sum differs from the starting integer by -4,700,084.

Prime Factor Structure

Factorization String 2 × 1429 × 3299
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 14,157,000
Proper Divisor Sum 4,728,458
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #9428539 ← → #9428543

Radix Representation

Decimal 9428542
Binary 100011111101111000111110 (24 bits)
Octal 0o43757076
Hexadecimal 0x8FDE3E

Divisor Catalog (8)

1 2 1,429 2,858 3,299 6,598 4,714,271 9,428,542

Collatz Trajectory (176 steps to reach 1)

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

9,428,542 4,714,271 14,142,814 7,071,407 21,214,222 10,607,111 31,821,334 15,910,667 47,732,002 23,866,001 71,598,004 35,799,002 17,899,501 53,698,504 26,849,252 13,424,626 6,712,313 20,136,940 10,068,470 5,034,235 15,102,706 7,551,353 22,654,060 11,327,030 5,663,515 16,990,546 8,495,273 25,485,820 12,742,910 6,371,455 19,114,366 9,557,183 28,671,550 14,335,775 43,007,326 21,503,663 64,510,990 32,255,495 96,766,486 48,383,243 145,149,730 72,574,865 217,724,596 108,862,298 54,431,149 163,293,448 81,646,724 40,823,362 20,411,681 61,235,044 30,617,522 15,308,761 45,926,284 22,963,142 11,481,571 34,444,714 17,222,357 51,667,072 25,833,536 12,916,768

More profiles

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