λ
Integer Codex

9,528,072

23 × 3 × 23 × 41 × 421
Abundant Even Composite

For 9,528,072, the 64 positive divisors have a total of 25,522,560. Removing 9,528,072 leaves 15,994,488, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^3 × 3 × 23 × 41 × 421
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 25,522,560
Proper Divisor Sum 15,994,488
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9528061 ← → #9528083

Radix Representation

Decimal 9528072
Binary 100100010110001100001000 (24 bits)
Octal 0o44261410
Hexadecimal 0x916308

Divisor Catalog (60 of 64)

1 2 3 4 6 8 12 23 24 41 46 69 82 92 123 138 164 184 246 276 328 421 492 552 842 943 984 1,263 1,684 1,886 2,526 2,829 3,368 3,772 5,052 5,658 7,544 9,683 10,104 11,316 17,261 19,366 22,632 29,049 34,522 38,732 51,783 58,098 69,044 77,464 103,566 116,196 138,088 207,132 232,392 397,003 414,264 794,006 1,191,009 1,588,012

Collatz Trajectory (70 steps to reach 1)

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

9,528,072 4,764,036 2,382,018 1,191,009 3,573,028 1,786,514 893,257 2,679,772 1,339,886 669,943 2,009,830 1,004,915 3,014,746 1,507,373 4,522,120 2,261,060 1,130,530 565,265 1,695,796 847,898 423,949 1,271,848 635,924 317,962 158,981 476,944 238,472 119,236 59,618 29,809 89,428 44,714 22,357 67,072 33,536 16,768 8,384 4,192 2,096 1,048 524 262 131 394 197 592 296 148 74 37 112 56 28 14 7 22 11 34 17 52

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