137,445

3 × 5 × 7² × 11 × 17

For 137,445, the 48 positive divisors have a total of 295,488. Removing 137,445 leaves 158,043, which gives the abundant classification.

Prime Factor Structure

Factorization String 3 × 5 × 7^2 × 11 × 17

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 295,488

Proper Divisor Sum 158,043

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #137443 ← → #137447

Radix Representation

Decimal	137445
Binary	100001100011100101 (18 bits)
Octal	0o414345
Hexadecimal	0x218E5

Divisor Catalog (48)

1 3 5 7 11 15 17 21 33 35 49 51 55 77 85 105 119 147 165 187 231 245 255 357 385 539 561 595 735 833 935 1,155 1,309 1,617 1,785 2,499 2,695 2,805 3,927 4,165 6,545 8,085 9,163 12,495 19,635 27,489 45,815 137,445

Collatz Trajectory (82 steps to reach 1)

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

137,445 412,336 206,168 103,084 51,542 25,771 77,314 38,657 115,972 57,986 28,993 86,980 43,490 21,745 65,236 32,618 16,309 48,928 24,464 12,232 6,116 3,058 1,529 4,588 2,294 1,147 3,442 1,721 5,164 2,582 1,291 3,874 1,937 5,812 2,906 1,453 4,360 2,180 1,090 545 1,636 818 409 1,228 614 307 922 461 1,384 692 346 173 520 260 130 65 196 98 49 148

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