4,137,229

31 × 37 × 3607

4,137,229 has digital root 1. The neighboring primes are 4137223 and 4137271; its proper-divisor sum differs from the starting integer by -3,887,130.

Prime Factor Structure

Factorization String 31 × 37 × 3607

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 4,387,328

Proper Divisor Sum 250,099

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #4137223 ← → #4137271

Radix Representation

Decimal	4137229
Binary	1111110010000100001101 (22 bits)
Octal	0o17620415
Hexadecimal	0x3F210D

Divisor Catalog (8)

1 31 37 1,147 3,607 111,817 133,459 4,137,229

Collatz Trajectory (198 steps to reach 1)

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

4,137,229 12,411,688 6,205,844 3,102,922 1,551,461 4,654,384 2,327,192 1,163,596 581,798 290,899 872,698 436,349 1,309,048 654,524 327,262 163,631 490,894 245,447 736,342 368,171 1,104,514 552,257 1,656,772 828,386 414,193 1,242,580 621,290 310,645 931,936 465,968 232,984 116,492 58,246 29,123 87,370 43,685 131,056 65,528 32,764 16,382 8,191 24,574 12,287 36,862 18,431 55,294 27,647 82,942 41,471 124,414 62,207 186,622 93,311 279,934 139,967 419,902 209,951 629,854 314,927 944,782

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