λ
Prime Ledger

3,092,994

2 × 32 × 23 × 31 × 241
Abundant Even Composite

3,092,994 has the prime decomposition 2 × 3^2 × 23 × 31 × 241. Its 5 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 23 × 31 × 241
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 7,248,384
Proper Divisor Sum 4,155,390
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3092993 ← → #3093011

Radix Representation

Decimal 3092994
Binary 1011110011001000000010 (22 bits)
Octal 0o13631002
Hexadecimal 0x2F3202

Divisor Catalog (48)

1 2 3 6 9 18 23 31 46 62 69 93 138 186 207 241 279 414 482 558 713 723 1,426 1,446 2,139 2,169 4,278 4,338 5,543 6,417 7,471 11,086 12,834 14,942 16,629 22,413 33,258 44,826 49,887 67,239 99,774 134,478 171,833 343,666 515,499 1,030,998 1,546,497 3,092,994

Collatz Trajectory (89 steps to reach 1)

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

3,092,994 1,546,497 4,639,492 2,319,746 1,159,873 3,479,620 1,739,810 869,905 2,609,716 1,304,858 652,429 1,957,288 978,644 489,322 244,661 733,984 366,992 183,496 91,748 45,874 22,937 68,812 34,406 17,203 51,610 25,805 77,416 38,708 19,354 9,677 29,032 14,516 7,258 3,629 10,888 5,444 2,722 1,361 4,084 2,042 1,021 3,064 1,532 766 383 1,150 575 1,726 863 2,590 1,295 3,886 1,943 5,830 2,915 8,746 4,373 13,120 6,560 3,280

More profiles

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