7,692,069

3 × 7² × 11 × 67 × 71

Starting at 7,692,069, the Collatz iteration reaches 1 after 173 steps. The first transition is 23076208; the starting value is odd with 48 positive divisors.

Prime Factor Structure

Factorization String 3 × 7^2 × 11 × 67 × 71

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 13,395,456

Proper Divisor Sum 5,703,387

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #7692053 ← → #7692079

Radix Representation

Decimal	7692069
Binary	11101010101111100100101 (23 bits)
Octal	0o35257445
Hexadecimal	0x755F25

Divisor Catalog (48)

1 3 7 11 21 33 49 67 71 77 147 201 213 231 469 497 539 737 781 1,407 1,491 1,617 2,211 2,343 3,283 3,479 4,757 5,159 5,467 9,849 10,437 14,271 15,477 16,401 33,299 36,113 38,269 52,327 99,897 108,339 114,807 156,981 233,093 366,289 699,279 1,098,867 2,564,023 7,692,069

Collatz Trajectory (173 steps to reach 1)

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

7,692,069 23,076,208 11,538,104 5,769,052 2,884,526 1,442,263 4,326,790 2,163,395 6,490,186 3,245,093 9,735,280 4,867,640 2,433,820 1,216,910 608,455 1,825,366 912,683 2,738,050 1,369,025 4,107,076 2,053,538 1,026,769 3,080,308 1,540,154 770,077 2,310,232 1,155,116 577,558 288,779 866,338 433,169 1,299,508 649,754 324,877 974,632 487,316 243,658 121,829 365,488 182,744 91,372 45,686 22,843 68,530 34,265 102,796 51,398 25,699 77,098 38,549 115,648 57,824 28,912 14,456 7,228 3,614 1,807 5,422 2,711 8,134

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