7,576,270

2 × 5 × 13² × 4483

Starting at 7,576,270, the Collatz iteration reaches 1 after 103 steps. The first transition is 3788135; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 13^2 × 4483

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 14,770,296

Proper Divisor Sum 7,194,026

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #7576253 ← → #7576273

Radix Representation

Decimal	7576270
Binary	11100111001101011001110 (23 bits)
Octal	0o34715316
Hexadecimal	0x739ACE

Divisor Catalog (24)

1 2 5 10 13 26 65 130 169 338 845 1,690 4,483 8,966 22,415 44,830 58,279 116,558 291,395 582,790 757,627 1,515,254 3,788,135 7,576,270

Collatz Trajectory (103 steps to reach 1)

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

7,576,270 3,788,135 11,364,406 5,682,203 17,046,610 8,523,305 25,569,916 12,784,958 6,392,479 19,177,438 9,588,719 28,766,158 14,383,079 43,149,238 21,574,619 64,723,858 32,361,929 97,085,788 48,542,894 24,271,447 72,814,342 36,407,171 109,221,514 54,610,757 163,832,272 81,916,136 40,958,068 20,479,034 10,239,517 30,718,552 15,359,276 7,679,638 3,839,819 11,519,458 5,759,729 17,279,188 8,639,594 4,319,797 12,959,392 6,479,696 3,239,848 1,619,924 809,962 404,981 1,214,944 607,472 303,736 151,868 75,934 37,967 113,902 56,951 170,854 85,427 256,282 128,141 384,424 192,212 96,106 48,053

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