7,915,706

2 × 37 × 41 × 2609

Starting at 7,915,706, the Collatz iteration reaches 1 after 199 steps. The first transition is 3957853; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 37 × 41 × 2609

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 12,496,680

Proper Divisor Sum 4,580,974

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #7915681 ← → #7915729

Radix Representation

Decimal	7915706
Binary	11110001100100010111010 (23 bits)
Octal	0o36144272
Hexadecimal	0x78C8BA

Divisor Catalog (16)

1 2 37 41 74 82 1,517 2,609 3,034 5,218 96,533 106,969 193,066 213,938 3,957,853 7,915,706

Collatz Trajectory (199 steps to reach 1)

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

7,915,706 3,957,853 11,873,560 5,936,780 2,968,390 1,484,195 4,452,586 2,226,293 6,678,880 3,339,440 1,669,720 834,860 417,430 208,715 626,146 313,073 939,220 469,610 234,805 704,416 352,208 176,104 88,052 44,026 22,013 66,040 33,020 16,510 8,255 24,766 12,383 37,150 18,575 55,726 27,863 83,590 41,795 125,386 62,693 188,080 94,040 47,020 23,510 11,755 35,266 17,633 52,900 26,450 13,225 39,676 19,838 9,919 29,758 14,879 44,638 22,319 66,958 33,479 100,438 50,219

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