1,737,525

3 × 5² × 23167

Starting at 1,737,525, the Collatz iteration reaches 1 after 96 steps. The first transition is 5212576; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3 × 5^2 × 23167

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 2,872,832

Proper Divisor Sum 1,135,307

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #1737523 ← → #1737529

Radix Representation

Decimal	1737525
Binary	110101000001100110101 (21 bits)
Octal	0o6501465
Hexadecimal	0x1A8335

Divisor Catalog (12)

1 3 5 15 25 75 23,167 69,501 115,835 347,505 579,175 1,737,525

Collatz Trajectory (96 steps to reach 1)

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

1,737,525 5,212,576 2,606,288 1,303,144 651,572 325,786 162,893 488,680 244,340 122,170 61,085 183,256 91,628 45,814 22,907 68,722 34,361 103,084 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

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