λ
Integer Codex

9,478,170

2 × 32 × 5 × 13 × 8101
Abundant Even Composite

For 9,478,170, the 48 positive divisors have a total of 26,542,152. Removing 9,478,170 leaves 17,063,982, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 13 × 8101
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 26,542,152
Proper Divisor Sum 17,063,982
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9478159 ← → #9478181

Radix Representation

Decimal 9478170
Binary 100100001010000000011010 (24 bits)
Octal 0o44120032
Hexadecimal 0x90A01A

Divisor Catalog (48)

1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1,170 8,101 16,202 24,303 40,505 48,606 72,909 81,010 105,313 121,515 145,818 210,626 243,030 315,939 364,545 526,565 631,878 729,090 947,817 1,053,130 1,579,695 1,895,634 3,159,390 4,739,085 9,478,170

Collatz Trajectory (163 steps to reach 1)

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

9,478,170 4,739,085 14,217,256 7,108,628 3,554,314 1,777,157 5,331,472 2,665,736 1,332,868 666,434 333,217 999,652 499,826 249,913 749,740 374,870 187,435 562,306 281,153 843,460 421,730 210,865 632,596 316,298 158,149 474,448 237,224 118,612 59,306 29,653 88,960 44,480 22,240 11,120 5,560 2,780 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248 124 62 31 94 47

More profiles

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