2,151,107

7 × 307301

Starting at 2,151,107, the Collatz iteration reaches 1 after 78 steps. The first transition is 6453322; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 7 × 307301

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 2,458,416

Proper Divisor Sum 307,309

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #2151101 ← → #2151119

Radix Representation

Decimal	2151107
Binary	1000001101001011000011 (22 bits)
Octal	0o10151303
Hexadecimal	0x20D2C3

Divisor Catalog (4)

1 7 307,301 2,151,107

Collatz Trajectory (78 steps to reach 1)

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

2,151,107 6,453,322 3,226,661 9,679,984 4,839,992 2,419,996 1,209,998 604,999 1,814,998 907,499 2,722,498 1,361,249 4,083,748 2,041,874 1,020,937 3,062,812 1,531,406 765,703 2,297,110 1,148,555 3,445,666 1,722,833 5,168,500 2,584,250 1,292,125 3,876,376 1,938,188 969,094 484,547 1,453,642 726,821 2,180,464 1,090,232 545,116 272,558 136,279 408,838 204,419 613,258 306,629 919,888 459,944 229,972 114,986 57,493 172,480 86,240 43,120 21,560 10,780 5,390 2,695 8,086 4,043 12,130 6,065 18,196 9,098 4,549 13,648

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