7,701,121

97 × 79393

Starting at 7,701,121, the Collatz iteration reaches 1 after 72 steps. The first transition is 23103364; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 97 × 79393

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 7,780,612

Proper Divisor Sum 79,491

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #7701107 ← → #7701131

Radix Representation

Decimal	7701121
Binary	11101011000001010000001 (23 bits)
Octal	0o35301201
Hexadecimal	0x758281

Divisor Catalog (4)

1 97 79,393 7,701,121

Collatz Trajectory (72 steps to reach 1)

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

7,701,121 23,103,364 11,551,682 5,775,841 17,327,524 8,663,762 4,331,881 12,995,644 6,497,822 3,248,911 9,746,734 4,873,367 14,620,102 7,310,051 21,930,154 10,965,077 32,895,232 16,447,616 8,223,808 4,111,904 2,055,952 1,027,976 513,988 256,994 128,497 385,492 192,746 96,373 289,120 144,560 72,280 36,140 18,070 9,035 27,106 13,553 40,660 20,330 10,165 30,496 15,248 7,624 3,812 1,906 953 2,860 1,430 715 2,146 1,073 3,220 1,610 805 2,416 1,208 604 302 151 454 227

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