λ
Integer Codex

9,013,602

2 × 3 × 13 × 73 × 1583
Abundant Even Composite

For 9,013,602, the 32 positive divisors have a total of 19,692,288. Removing 9,013,602 leaves 10,678,686, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3 × 13 × 73 × 1583
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 19,692,288
Proper Divisor Sum 10,678,686
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #9013597 ← → #9013603

Radix Representation

Decimal 9013602
Binary 100010011000100101100010 (24 bits)
Octal 0o42304542
Hexadecimal 0x898962

Divisor Catalog (32)

1 2 3 6 13 26 39 73 78 146 219 438 949 1,583 1,898 2,847 3,166 4,749 5,694 9,498 20,579 41,158 61,737 115,559 123,474 231,118 346,677 693,354 1,502,267 3,004,534 4,506,801 9,013,602

Collatz Trajectory (137 steps to reach 1)

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

9,013,602 4,506,801 13,520,404 6,760,202 3,380,101 10,140,304 5,070,152 2,535,076 1,267,538 633,769 1,901,308 950,654 475,327 1,425,982 712,991 2,138,974 1,069,487 3,208,462 1,604,231 4,812,694 2,406,347 7,219,042 3,609,521 10,828,564 5,414,282 2,707,141 8,121,424 4,060,712 2,030,356 1,015,178 507,589 1,522,768 761,384 380,692 190,346 95,173 285,520 142,760 71,380 35,690 17,845 53,536 26,768 13,384 6,692 3,346 1,673 5,020 2,510 1,255 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179 9,538

More profiles

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