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Atlas › Integer Profiles › Node 3,935,575

3,935,575

52 × 7 × 43 × 523
Deficient Odd Composite

3,935,575 factors as 5^2 × 7 × 43 × 523. Its 24 positive divisors give a proper-divisor sum of 1,782,313, so this integer is deficient. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 5^2 × 7 × 43 × 523
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,717,888
Proper Divisor Sum 1,782,313
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #3935573 ← → #3935587

Radix Representation

Decimal 3935575
Binary 1111000000110101010111 (22 bits)
Octal 0o17006527
Hexadecimal 0x3C0D57

Divisor Catalog (24)

1 5 7 25 35 43 175 215 301 523 1,075 1,505 2,615 3,661 7,525 13,075 18,305 22,489 91,525 112,445 157,423 562,225 787,115 3,935,575

Collatz Trajectory (123 steps to reach 1)

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

3,935,575 11,806,726 5,903,363 17,710,090 8,855,045 26,565,136 13,282,568 6,641,284 3,320,642 1,660,321 4,980,964 2,490,482 1,245,241 3,735,724 1,867,862 933,931 2,801,794 1,400,897 4,202,692 2,101,346 1,050,673 3,152,020 1,576,010 788,005 2,364,016 1,182,008 591,004 295,502 147,751 443,254 221,627 664,882 332,441 997,324 498,662 249,331 747,994 373,997 1,121,992 560,996 280,498 140,249 420,748 210,374 105,187 315,562 157,781 473,344 236,672 118,336 59,168 29,584 14,792 7,396 3,698 1,849 5,548 2,774 1,387 4,162

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