7,840,879

61 × 173 × 743

Starting at 7,840,879, the Collatz iteration reaches 1 after 199 steps. The first transition is 23522638; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 61 × 173 × 743

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 8,026,272

Proper Divisor Sum 185,393

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #7840871 ← → #7840891

Radix Representation

Decimal	7840879
Binary	11101111010010001101111 (23 bits)
Octal	0o35722157
Hexadecimal	0x77A46F

Divisor Catalog (8)

1 61 173 743 10,553 45,323 128,539 7,840,879

Collatz Trajectory (199 steps to reach 1)

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

7,840,879 23,522,638 11,761,319 35,283,958 17,641,979 52,925,938 26,462,969 79,388,908 39,694,454 19,847,227 59,541,682 29,770,841 89,312,524 44,656,262 22,328,131 66,984,394 33,492,197 100,476,592 50,238,296 25,119,148 12,559,574 6,279,787 18,839,362 9,419,681 28,259,044 14,129,522 7,064,761 21,194,284 10,597,142 5,298,571 15,895,714 7,947,857 23,843,572 11,921,786 5,960,893 17,882,680 8,941,340 4,470,670 2,235,335 6,706,006 3,353,003 10,059,010 5,029,505 15,088,516 7,544,258 3,772,129 11,316,388 5,658,194 2,829,097 8,487,292 4,243,646 2,121,823 6,365,470 3,182,735 9,548,206 4,774,103 14,322,310 7,161,155 21,483,466 10,741,733

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