7,802,737

43 × 181459

Starting at 7,802,737, the Collatz iteration reaches 1 after 186 steps. The first transition is 23408212; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 43 × 181459

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 7,984,240

Proper Divisor Sum 181,503

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #7802701 ← → #7802791

Radix Representation

Decimal	7802737
Binary	11101110000111101110001 (23 bits)
Octal	0o35607561
Hexadecimal	0x770F71

Divisor Catalog (4)

1 43 181,459 7,802,737

Collatz Trajectory (186 steps to reach 1)

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

7,802,737 23,408,212 11,704,106 5,852,053 17,556,160 8,778,080 4,389,040 2,194,520 1,097,260 548,630 274,315 822,946 411,473 1,234,420 617,210 308,605 925,816 462,908 231,454 115,727 347,182 173,591 520,774 260,387 781,162 390,581 1,171,744 585,872 292,936 146,468 73,234 36,617 109,852 54,926 27,463 82,390 41,195 123,586 61,793 185,380 92,690 46,345 139,036 69,518 34,759 104,278 52,139 156,418 78,209 234,628 117,314 58,657 175,972 87,986 43,993 131,980 65,990 32,995 98,986 49,493

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