1,575,175

5² × 7 × 9001

Starting at 1,575,175, the Collatz iteration reaches 1 after 331 steps. The first transition is 4725526; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 7 × 9001

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 2,232,496

Proper Divisor Sum 657,321

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #1575151 ← → #1575187

Radix Representation

Decimal	1575175
Binary	110000000100100000111 (21 bits)
Octal	0o6004407
Hexadecimal	0x180907

Divisor Catalog (12)

1 5 7 25 35 175 9,001 45,005 63,007 225,025 315,035 1,575,175

Collatz Trajectory (331 steps to reach 1)

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

1,575,175 4,725,526 2,362,763 7,088,290 3,544,145 10,632,436 5,316,218 2,658,109 7,974,328 3,987,164 1,993,582 996,791 2,990,374 1,495,187 4,485,562 2,242,781 6,728,344 3,364,172 1,682,086 841,043 2,523,130 1,261,565 3,784,696 1,892,348 946,174 473,087 1,419,262 709,631 2,128,894 1,064,447 3,193,342 1,596,671 4,790,014 2,395,007 7,185,022 3,592,511 10,777,534 5,388,767 16,166,302 8,083,151 24,249,454 12,124,727 36,374,182 18,187,091 54,561,274 27,280,637 81,841,912 40,920,956 20,460,478 10,230,239 30,690,718 15,345,359 46,036,078 23,018,039 69,054,118 34,527,059 103,581,178 51,790,589 155,371,768 77,685,884

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