7,817,887

7 × 11 × 101531

Starting at 7,817,887, the Collatz iteration reaches 1 after 248 steps. The first transition is 23453662; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 7 × 11 × 101531

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 9,747,072

Proper Divisor Sum 1,929,185

Digit Sum / Digital Root 46 (Root: 1)

Adjacent Primes #7817879 ← → #7817893

Radix Representation

Decimal	7817887
Binary	11101110100101010011111 (23 bits)
Octal	0o35645237
Hexadecimal	0x774A9F

Divisor Catalog (8)

1 7 11 77 101,531 710,717 1,116,841 7,817,887

Collatz Trajectory (248 steps to reach 1)

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

7,817,887 23,453,662 11,726,831 35,180,494 17,590,247 52,770,742 26,385,371 79,156,114 39,578,057 118,734,172 59,367,086 29,683,543 89,050,630 44,525,315 133,575,946 66,787,973 200,363,920 100,181,960 50,090,980 25,045,490 12,522,745 37,568,236 18,784,118 9,392,059 28,176,178 14,088,089 42,264,268 21,132,134 10,566,067 31,698,202 15,849,101 47,547,304 23,773,652 11,886,826 5,943,413 17,830,240 8,915,120 4,457,560 2,228,780 1,114,390 557,195 1,671,586 835,793 2,507,380 1,253,690 626,845 1,880,536 940,268 470,134 235,067 705,202 352,601 1,057,804 528,902 264,451 793,354 396,677 1,190,032 595,016 297,508

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