7,672,831

17 × 451343

Starting at 7,672,831, the Collatz iteration reaches 1 after 124 steps. The first transition is 23018494; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 17 × 451343

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 8,124,192

Proper Divisor Sum 451,361

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #7672799 ← → #7672853

Radix Representation

Decimal	7672831
Binary	11101010001001111111111 (23 bits)
Octal	0o35211777
Hexadecimal	0x7513FF

Divisor Catalog (4)

1 17 451,343 7,672,831

Collatz Trajectory (124 steps to reach 1)

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

7,672,831 23,018,494 11,509,247 34,527,742 17,263,871 51,791,614 25,895,807 77,687,422 38,843,711 116,531,134 58,265,567 174,796,702 87,398,351 262,195,054 131,097,527 393,292,582 196,646,291 589,938,874 294,969,437 884,908,312 442,454,156 221,227,078 110,613,539 331,840,618 165,920,309 497,760,928 248,880,464 124,440,232 62,220,116 31,110,058 15,555,029 46,665,088 23,332,544 11,666,272 5,833,136 2,916,568 1,458,284 729,142 364,571 1,093,714 546,857 1,640,572 820,286 410,143 1,230,430 615,215 1,845,646 922,823 2,768,470 1,384,235 4,152,706 2,076,353 6,229,060 3,114,530 1,557,265 4,671,796 2,335,898 1,167,949 3,503,848 1,751,924

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