λ
Harmonic Matrix

9,142,647

3 × 3047549
Deficient Odd Composite

9,142,647 has digital root 6. The neighboring primes are 9142643 and 9142691; its proper-divisor sum differs from the starting integer by -6,095,094.

Prime Factor Structure

Factorization String 3 × 3047549
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 12,190,200
Proper Divisor Sum 3,047,553
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9142643 ← → #9142691

Radix Representation

Decimal 9142647
Binary 100010111000000101110111 (24 bits)
Octal 0o42700567
Hexadecimal 0x8B8177

Divisor Catalog (4)

1 3 3,047,549 9,142,647

Collatz Trajectory (225 steps to reach 1)

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

9,142,647 27,427,942 13,713,971 41,141,914 20,570,957 61,712,872 30,856,436 15,428,218 7,714,109 23,142,328 11,571,164 5,785,582 2,892,791 8,678,374 4,339,187 13,017,562 6,508,781 19,526,344 9,763,172 4,881,586 2,440,793 7,322,380 3,661,190 1,830,595 5,491,786 2,745,893 8,237,680 4,118,840 2,059,420 1,029,710 514,855 1,544,566 772,283 2,316,850 1,158,425 3,475,276 1,737,638 868,819 2,606,458 1,303,229 3,909,688 1,954,844 977,422 488,711 1,466,134 733,067 2,199,202 1,099,601 3,298,804 1,649,402 824,701 2,474,104 1,237,052 618,526 309,263 927,790 463,895 1,391,686 695,843 2,087,530

More profiles

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