7,670,692

2² × 37 × 51829

Starting at 7,670,692, the Collatz iteration reaches 1 after 217 steps. The first transition is 3835346; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 37 × 51829

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 13,786,780

Proper Divisor Sum 6,116,088

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #7670653 ← → #7670693

Radix Representation

Decimal	7670692
Binary	11101010000101110100100 (23 bits)
Octal	0o35205644
Hexadecimal	0x750BA4

Divisor Catalog (12)

1 2 4 37 74 148 51,829 103,658 207,316 1,917,673 3,835,346 7,670,692

Collatz Trajectory (217 steps to reach 1)

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

7,670,692 3,835,346 1,917,673 5,753,020 2,876,510 1,438,255 4,314,766 2,157,383 6,472,150 3,236,075 9,708,226 4,854,113 14,562,340 7,281,170 3,640,585 10,921,756 5,460,878 2,730,439 8,191,318 4,095,659 12,286,978 6,143,489 18,430,468 9,215,234 4,607,617 13,822,852 6,911,426 3,455,713 10,367,140 5,183,570 2,591,785 7,775,356 3,887,678 1,943,839 5,831,518 2,915,759 8,747,278 4,373,639 13,120,918 6,560,459 19,681,378 9,840,689 29,522,068 14,761,034 7,380,517 22,141,552 11,070,776 5,535,388 2,767,694 1,383,847 4,151,542 2,075,771 6,227,314 3,113,657 9,340,972 4,670,486 2,335,243 7,005,730 3,502,865 10,508,596

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