7,511,810

2 × 5 × 751181

Starting at 7,511,810, the Collatz iteration reaches 1 after 160 steps. The first transition is 3755905; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 751181

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 13,521,276

Proper Divisor Sum 6,009,466

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #7511789 ← → #7511813

Radix Representation

Decimal	7511810
Binary	11100101001111100000010 (23 bits)
Octal	0o34517402
Hexadecimal	0x729F02

Divisor Catalog (8)

1 2 5 10 751,181 1,502,362 3,755,905 7,511,810

Collatz Trajectory (160 steps to reach 1)

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

7,511,810 3,755,905 11,267,716 5,633,858 2,816,929 8,450,788 4,225,394 2,112,697 6,338,092 3,169,046 1,584,523 4,753,570 2,376,785 7,130,356 3,565,178 1,782,589 5,347,768 2,673,884 1,336,942 668,471 2,005,414 1,002,707 3,008,122 1,504,061 4,512,184 2,256,092 1,128,046 564,023 1,692,070 846,035 2,538,106 1,269,053 3,807,160 1,903,580 951,790 475,895 1,427,686 713,843 2,141,530 1,070,765 3,212,296 1,606,148 803,074 401,537 1,204,612 602,306 301,153 903,460 451,730 225,865 677,596 338,798 169,399 508,198 254,099 762,298 381,149 1,143,448 571,724 285,862

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