7,730,846

2 × 73 × 52951

Starting at 7,730,846, the Collatz iteration reaches 1 after 111 steps. The first transition is 3865423; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 73 × 52951

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 11,755,344

Proper Divisor Sum 4,024,498

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #7730819 ← → #7730881

Radix Representation

Decimal	7730846
Binary	11101011111011010011110 (23 bits)
Octal	0o35373236
Hexadecimal	0x75F69E

Divisor Catalog (8)

1 2 73 146 52,951 105,902 3,865,423 7,730,846

Collatz Trajectory (111 steps to reach 1)

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

7,730,846 3,865,423 11,596,270 5,798,135 17,394,406 8,697,203 26,091,610 13,045,805 39,137,416 19,568,708 9,784,354 4,892,177 14,676,532 7,338,266 3,669,133 11,007,400 5,503,700 2,751,850 1,375,925 4,127,776 2,063,888 1,031,944 515,972 257,986 128,993 386,980 193,490 96,745 290,236 145,118 72,559 217,678 108,839 326,518 163,259 489,778 244,889 734,668 367,334 183,667 551,002 275,501 826,504 413,252 206,626 103,313 309,940 154,970 77,485 232,456 116,228 58,114 29,057 87,172 43,586 21,793 65,380 32,690 16,345 49,036

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