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Atlas › Integer Profiles › Node 46,225,984

46,225,984

26 × 7 × 103183
Abundant Even Composite

46,225,984 factors as 2^6 × 7 × 103183. Its 28 positive divisors give a proper-divisor sum of 58,608,960, so this integer is abundant. The Collatz stopping time is 72 steps.

Prime Factor Structure

Factorization String 2^6 × 7 × 103183
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 104,834,944
Proper Divisor Sum 58,608,960
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #46225973 ← → #46225997

Radix Representation

Decimal 46225984
Binary 10110000010101101001000000 (26 bits)
Octal 0o260255100
Hexadecimal 0x2C15A40

Divisor Catalog (28)

1 2 4 7 8 14 16 28 32 56 64 112 224 448 103,183 206,366 412,732 722,281 825,464 1,444,562 1,650,928 2,889,124 3,301,856 5,778,248 6,603,712 11,556,496 23,112,992 46,225,984

Collatz Trajectory (72 steps to reach 1)

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

46,225,984 23,112,992 11,556,496 5,778,248 2,889,124 1,444,562 722,281 2,166,844 1,083,422 541,711 1,625,134 812,567 2,437,702 1,218,851 3,656,554 1,828,277 5,484,832 2,742,416 1,371,208 685,604 342,802 171,401 514,204 257,102 128,551 385,654 192,827 578,482 289,241 867,724 433,862 216,931 650,794 325,397 976,192 488,096 244,048 122,024 61,012 30,506 15,253 45,760 22,880 11,440 5,720 2,860 1,430 715 2,146 1,073 3,220 1,610 805 2,416 1,208 604 302 151 454 227

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