7,560,631

13 × 17 × 34211

Starting at 7,560,631, the Collatz iteration reaches 1 after 155 steps. The first transition is 22681894; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 13 × 17 × 34211

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 8,621,424

Proper Divisor Sum 1,060,793

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #7560601 ← → #7560643

Radix Representation

Decimal	7560631
Binary	11100110101110110110111 (23 bits)
Octal	0o34656667
Hexadecimal	0x735DB7

Divisor Catalog (8)

1 13 17 221 34,211 444,743 581,587 7,560,631

Collatz Trajectory (155 steps to reach 1)

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

7,560,631 22,681,894 11,340,947 34,022,842 17,011,421 51,034,264 25,517,132 12,758,566 6,379,283 19,137,850 9,568,925 28,706,776 14,353,388 7,176,694 3,588,347 10,765,042 5,382,521 16,147,564 8,073,782 4,036,891 12,110,674 6,055,337 18,166,012 9,083,006 4,541,503 13,624,510 6,812,255 20,436,766 10,218,383 30,655,150 15,327,575 45,982,726 22,991,363 68,974,090 34,487,045 103,461,136 51,730,568 25,865,284 12,932,642 6,466,321 19,398,964 9,699,482 4,849,741 14,549,224 7,274,612 3,637,306 1,818,653 5,455,960 2,727,980 1,363,990 681,995 2,045,986 1,022,993 3,068,980 1,534,490 767,245 2,301,736 1,150,868 575,434 287,717

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