2,672,004

2² × 3 × 107 × 2081

2,672,004 has the prime decomposition 2^2 × 3 × 107 × 2081. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 107 × 2081

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 6,295,968

Proper Divisor Sum 3,623,964

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #2672003 ← → #2672023

Radix Representation

Decimal	2672004
Binary	1010001100010110000100 (22 bits)
Octal	0o12142604
Hexadecimal	0x28C584

Divisor Catalog (24)

1 2 3 4 6 12 107 214 321 428 642 1,284 2,081 4,162 6,243 8,324 12,486 24,972 222,667 445,334 668,001 890,668 1,336,002 2,672,004

Collatz Trajectory (117 steps to reach 1)

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

2,672,004 1,336,002 668,001 2,004,004 1,002,002 501,001 1,503,004 751,502 375,751 1,127,254 563,627 1,690,882 845,441 2,536,324 1,268,162 634,081 1,902,244 951,122 475,561 1,426,684 713,342 356,671 1,070,014 535,007 1,605,022 802,511 2,407,534 1,203,767 3,611,302 1,805,651 5,416,954 2,708,477 8,125,432 4,062,716 2,031,358 1,015,679 3,047,038 1,523,519 4,570,558 2,285,279 6,855,838 3,427,919 10,283,758 5,141,879 15,425,638 7,712,819 23,138,458 11,569,229 34,707,688 17,353,844 8,676,922 4,338,461 13,015,384 6,507,692 3,253,846 1,626,923 4,880,770 2,440,385 7,321,156 3,660,578

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