7,792,366

2 × 59 × 66037

Starting at 7,792,366, the Collatz iteration reaches 1 after 186 steps. The first transition is 3896183; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 59 × 66037

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 11,886,840

Proper Divisor Sum 4,094,474

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #7792363 ← → #7792373

Radix Representation

Decimal	7792366
Binary	11101101110011011101110 (23 bits)
Octal	0o35563356
Hexadecimal	0x76E6EE

Divisor Catalog (8)

1 2 59 118 66,037 132,074 3,896,183 7,792,366

Collatz Trajectory (186 steps to reach 1)

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

7,792,366 3,896,183 11,688,550 5,844,275 17,532,826 8,766,413 26,299,240 13,149,620 6,574,810 3,287,405 9,862,216 4,931,108 2,465,554 1,232,777 3,698,332 1,849,166 924,583 2,773,750 1,386,875 4,160,626 2,080,313 6,240,940 3,120,470 1,560,235 4,680,706 2,340,353 7,021,060 3,510,530 1,755,265 5,265,796 2,632,898 1,316,449 3,949,348 1,974,674 987,337 2,962,012 1,481,006 740,503 2,221,510 1,110,755 3,332,266 1,666,133 4,998,400 2,499,200 1,249,600 624,800 312,400 156,200 78,100 39,050 19,525 58,576 29,288 14,644 7,322 3,661 10,984 5,492 2,746 1,373

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