1,071,875

5⁵ × 7³

1,071,875 is odd and not a perfect square. Its factorization is 5^5 × 7^3 and its 24 divisors sum to 1,562,400.

Prime Factor Structure

Factorization String 5^5 × 7^3

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,562,400

Proper Divisor Sum 490,525

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #1071871 ← → #1071899

Radix Representation

Decimal	1071875
Binary	100000101101100000011 (21 bits)
Octal	0o4055403
Hexadecimal	0x105B03

Divisor Catalog (24)

1 5 7 25 35 49 125 175 245 343 625 875 1,225 1,715 3,125 4,375 6,125 8,575 21,875 30,625 42,875 153,125 214,375 1,071,875

Collatz Trajectory (72 steps to reach 1)

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

1,071,875 3,215,626 1,607,813 4,823,440 2,411,720 1,205,860 602,930 301,465 904,396 452,198 226,099 678,298 339,149 1,017,448 508,724 254,362 127,181 381,544 190,772 95,386 47,693 143,080 71,540 35,770 17,885 53,656 26,828 13,414 6,707 20,122 10,061 30,184 15,092 7,546 3,773 11,320 5,660 2,830 1,415 4,246 2,123 6,370 3,185 9,556 4,778 2,389 7,168 3,584 1,792 896 448 224 112 56 28 14 7 22 11 34

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