λ
Prime Ledger

9,442,688

27 × 73771
Deficient Even Composite

9,442,688 has the prime decomposition 2^7 × 73771. Its 2 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2^7 × 73771
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 18,811,860
Proper Divisor Sum 9,369,172
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #9442679 ← → #9442691

Radix Representation

Decimal 9442688
Binary 100100000001010110000000 (24 bits)
Octal 0o44012600
Hexadecimal 0x901580

Divisor Catalog (16)

1 2 4 8 16 32 64 128 73,771 147,542 295,084 590,168 1,180,336 2,360,672 4,721,344 9,442,688

Collatz Trajectory (101 steps to reach 1)

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

9,442,688 4,721,344 2,360,672 1,180,336 590,168 295,084 147,542 73,771 221,314 110,657 331,972 165,986 82,993 248,980 124,490 62,245 186,736 93,368 46,684 23,342 11,671 35,014 17,507 52,522 26,261 78,784 39,392 19,696 9,848 4,924 2,462 1,231 3,694 1,847 5,542 2,771 8,314 4,157 12,472 6,236 3,118 1,559 4,678 2,339 7,018 3,509 10,528 5,264 2,632 1,316 658 329 988 494 247 742 371 1,114 557 1,672

More profiles

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