7,383,610

2 × 5 × 13² × 17 × 257

Starting at 7,383,610, the Collatz iteration reaches 1 after 191 steps. The first transition is 3691805; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 13^2 × 17 × 257

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 15,297,336

Proper Divisor Sum 7,913,726

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #7383599 ← → #7383631

Radix Representation

Decimal	7383610
Binary	11100001010101000111010 (23 bits)
Octal	0o34125072
Hexadecimal	0x70AA3A

Divisor Catalog (48)

1 2 5 10 13 17 26 34 65 85 130 169 170 221 257 338 442 514 845 1,105 1,285 1,690 2,210 2,570 2,873 3,341 4,369 5,746 6,682 8,738 14,365 16,705 21,845 28,730 33,410 43,433 43,690 56,797 86,866 113,594 217,165 283,985 434,330 567,970 738,361 1,476,722 3,691,805 7,383,610

Collatz Trajectory (191 steps to reach 1)

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

7,383,610 3,691,805 11,075,416 5,537,708 2,768,854 1,384,427 4,153,282 2,076,641 6,229,924 3,114,962 1,557,481 4,672,444 2,336,222 1,168,111 3,504,334 1,752,167 5,256,502 2,628,251 7,884,754 3,942,377 11,827,132 5,913,566 2,956,783 8,870,350 4,435,175 13,305,526 6,652,763 19,958,290 9,979,145 29,937,436 14,968,718 7,484,359 22,453,078 11,226,539 33,679,618 16,839,809 50,519,428 25,259,714 12,629,857 37,889,572 18,944,786 9,472,393 28,417,180 14,208,590 7,104,295 21,312,886 10,656,443 31,969,330 15,984,665 47,953,996 23,976,998 11,988,499 35,965,498 17,982,749 53,948,248 26,974,124 13,487,062 6,743,531 20,230,594 10,115,297

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