7,691,380

2² × 5 × 29 × 89 × 149

Starting at 7,691,380, the Collatz iteration reaches 1 after 186 steps. The first transition is 3845690; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 29 × 89 × 149

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 17,010,000

Proper Divisor Sum 9,318,620

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #7691377 ← → #7691381

Radix Representation

Decimal	7691380
Binary	11101010101110001110100 (23 bits)
Octal	0o35256164
Hexadecimal	0x755C74

Divisor Catalog (48)

1 2 4 5 10 20 29 58 89 116 145 149 178 290 298 356 445 580 596 745 890 1,490 1,780 2,581 2,980 4,321 5,162 8,642 10,324 12,905 13,261 17,284 21,605 25,810 26,522 43,210 51,620 53,044 66,305 86,420 132,610 265,220 384,569 769,138 1,538,276 1,922,845 3,845,690 7,691,380

Collatz Trajectory (186 steps to reach 1)

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

7,691,380 3,845,690 1,922,845 5,768,536 2,884,268 1,442,134 721,067 2,163,202 1,081,601 3,244,804 1,622,402 811,201 2,433,604 1,216,802 608,401 1,825,204 912,602 456,301 1,368,904 684,452 342,226 171,113 513,340 256,670 128,335 385,006 192,503 577,510 288,755 866,266 433,133 1,299,400 649,700 324,850 162,425 487,276 243,638 121,819 365,458 182,729 548,188 274,094 137,047 411,142 205,571 616,714 308,357 925,072 462,536 231,268 115,634 57,817 173,452 86,726 43,363 130,090 65,045 195,136 97,568 48,784

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