3,130,575

3 × 5² × 7 × 67 × 89

3,130,575 is odd and not a perfect square. Its factorization is 3 × 5^2 × 7 × 67 × 89 and its 48 divisors sum to 6,071,040.

Prime Factor Structure

Factorization String 3 × 5^2 × 7 × 67 × 89

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 6,071,040

Proper Divisor Sum 2,940,465

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #3130571 ← → #3130577

Radix Representation

Decimal	3130575
Binary	1011111100010011001111 (22 bits)
Octal	0o13742317
Hexadecimal	0x2FC4CF

Divisor Catalog (48)

1 3 5 7 15 21 25 35 67 75 89 105 175 201 267 335 445 469 525 623 1,005 1,335 1,407 1,675 1,869 2,225 2,345 3,115 5,025 5,963 6,675 7,035 9,345 11,725 15,575 17,889 29,815 35,175 41,741 46,725 89,445 125,223 149,075 208,705 447,225 626,115 1,043,525 3,130,575

Collatz Trajectory (195 steps to reach 1)

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

3,130,575 9,391,726 4,695,863 14,087,590 7,043,795 21,131,386 10,565,693 31,697,080 15,848,540 7,924,270 3,962,135 11,886,406 5,943,203 17,829,610 8,914,805 26,744,416 13,372,208 6,686,104 3,343,052 1,671,526 835,763 2,507,290 1,253,645 3,760,936 1,880,468 940,234 470,117 1,410,352 705,176 352,588 176,294 88,147 264,442 132,221 396,664 198,332 99,166 49,583 148,750 74,375 223,126 111,563 334,690 167,345 502,036 251,018 125,509 376,528 188,264 94,132 47,066 23,533 70,600 35,300 17,650 8,825 26,476 13,238 6,619 19,858

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