λ
Prime Ledger

9,478,708

22 × 29 × 41 × 1993
Deficient Even Composite

9,478,708 has the prime decomposition 2^2 × 29 × 41 × 1993. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 29 × 41 × 1993
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 17,587,080
Proper Divisor Sum 8,108,372
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #9478687 ← → #9478717

Radix Representation

Decimal 9478708
Binary 100100001010001000110100 (24 bits)
Octal 0o44121064
Hexadecimal 0x90A234

Divisor Catalog (24)

1 2 4 29 41 58 82 116 164 1,189 1,993 2,378 3,986 4,756 7,972 57,797 81,713 115,594 163,426 231,188 326,852 2,369,677 4,739,354 9,478,708

Collatz Trajectory (163 steps to reach 1)

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

9,478,708 4,739,354 2,369,677 7,109,032 3,554,516 1,777,258 888,629 2,665,888 1,332,944 666,472 333,236 166,618 83,309 249,928 124,964 62,482 31,241 93,724 46,862 23,431 70,294 35,147 105,442 52,721 158,164 79,082 39,541 118,624 59,312 29,656 14,828 7,414 3,707 11,122 5,561 16,684 8,342 4,171 12,514 6,257 18,772 9,386 4,693 14,080 7,040 3,520 1,760 880 440 220 110 55 166 83 250 125 376 188 94 47

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