λ
Sigma Notebook

9,829,290

2 × 3 × 5 × 103 × 3181
Abundant Even Composite

9,829,290 is even and not a perfect square. Its factorization is 2 × 3 × 5 × 103 × 3181 and its 32 divisors sum to 23,826,816.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 103 × 3181
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 23,826,816
Proper Divisor Sum 13,997,526
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #9829277 ← → #9829291

Radix Representation

Decimal 9829290
Binary 100101011111101110101010 (24 bits)
Octal 0o45375652
Hexadecimal 0x95FBAA

Divisor Catalog (32)

1 2 3 5 6 10 15 30 103 206 309 515 618 1,030 1,545 3,090 3,181 6,362 9,543 15,905 19,086 31,810 47,715 95,430 327,643 655,286 982,929 1,638,215 1,965,858 3,276,430 4,914,645 9,829,290

Collatz Trajectory (88 steps to reach 1)

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

9,829,290 4,914,645 14,743,936 7,371,968 3,685,984 1,842,992 921,496 460,748 230,374 115,187 345,562 172,781 518,344 259,172 129,586 64,793 194,380 97,190 48,595 145,786 72,893 218,680 109,340 54,670 27,335 82,006 41,003 123,010 61,505 184,516 92,258 46,129 138,388 69,194 34,597 103,792 51,896 25,948 12,974 6,487 19,462 9,731 29,194 14,597 43,792 21,896 10,948 5,474 2,737 8,212 4,106 2,053 6,160 3,080 1,540 770 385 1,156 578 289

More profiles

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