7,130,757

3 × 19 × 125101

Starting at 7,130,757, the Collatz iteration reaches 1 after 173 steps. The first transition is 21392272; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 19 × 125101

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 10,008,160

Proper Divisor Sum 2,877,403

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #7130749 ← → #7130789

Radix Representation

Decimal	7130757
Binary	11011001100111010000101 (23 bits)
Octal	0o33147205
Hexadecimal	0x6CCE85

Divisor Catalog (8)

1 3 19 57 125,101 375,303 2,376,919 7,130,757

Collatz Trajectory (173 steps to reach 1)

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

7,130,757 21,392,272 10,696,136 5,348,068 2,674,034 1,337,017 4,011,052 2,005,526 1,002,763 3,008,290 1,504,145 4,512,436 2,256,218 1,128,109 3,384,328 1,692,164 846,082 423,041 1,269,124 634,562 317,281 951,844 475,922 237,961 713,884 356,942 178,471 535,414 267,707 803,122 401,561 1,204,684 602,342 301,171 903,514 451,757 1,355,272 677,636 338,818 169,409 508,228 254,114 127,057 381,172 190,586 95,293 285,880 142,940 71,470 35,735 107,206 53,603 160,810 80,405 241,216 120,608 60,304 30,152 15,076 7,538

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