7,876,262

2 × 73² × 739

7,876,262 has the prime decomposition 2 × 73^2 × 739. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2 × 73^2 × 739

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 11,994,660

Proper Divisor Sum 4,118,398

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #7876261 ← → #7876273

Radix Representation

Decimal	7876262
Binary	11110000010111010100110 (23 bits)
Octal	0o36027246
Hexadecimal	0x782EA6

Divisor Catalog (12)

1 2 73 146 739 1,478 5,329 10,658 53,947 107,894 3,938,131 7,876,262

Collatz Trajectory (124 steps to reach 1)

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

7,876,262 3,938,131 11,814,394 5,907,197 17,721,592 8,860,796 4,430,398 2,215,199 6,645,598 3,322,799 9,968,398 4,984,199 14,952,598 7,476,299 22,428,898 11,214,449 33,643,348 16,821,674 8,410,837 25,232,512 12,616,256 6,308,128 3,154,064 1,577,032 788,516 394,258 197,129 591,388 295,694 147,847 443,542 221,771 665,314 332,657 997,972 498,986 249,493 748,480 374,240 187,120 93,560 46,780 23,390 11,695 35,086 17,543 52,630 26,315 78,946 39,473 118,420 59,210 29,605 88,816 44,408 22,204 11,102 5,551 16,654 8,327

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