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Atlas › Integer Profiles › Node 5,241,346

5,241,346

2 × 11 × 37 × 47 × 137
Deficient Even Composite

5,241,346 factors as 2 × 11 × 37 × 47 × 137. Its 32 positive divisors give a proper-divisor sum of 3,820,286, so this integer is deficient. The Collatz stopping time is 126 steps.

Prime Factor Structure

Factorization String 2 × 11 × 37 × 47 × 137
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 9,061,632
Proper Divisor Sum 3,820,286
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #5241331 ← → #5241349

Radix Representation

Decimal 5241346
Binary 10011111111101000000010 (23 bits)
Octal 0o23775002
Hexadecimal 0x4FFA02

Divisor Catalog (32)

1 2 11 22 37 47 74 94 137 274 407 517 814 1,034 1,507 1,739 3,014 3,478 5,069 6,439 10,138 12,878 19,129 38,258 55,759 70,829 111,518 141,658 238,243 476,486 2,620,673 5,241,346

Collatz Trajectory (126 steps to reach 1)

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

5,241,346 2,620,673 7,862,020 3,931,010 1,965,505 5,896,516 2,948,258 1,474,129 4,422,388 2,211,194 1,105,597 3,316,792 1,658,396 829,198 414,599 1,243,798 621,899 1,865,698 932,849 2,798,548 1,399,274 699,637 2,098,912 1,049,456 524,728 262,364 131,182 65,591 196,774 98,387 295,162 147,581 442,744 221,372 110,686 55,343 166,030 83,015 249,046 124,523 373,570 186,785 560,356 280,178 140,089 420,268 210,134 105,067 315,202 157,601 472,804 236,402 118,201 354,604 177,302 88,651 265,954 132,977 398,932 199,466

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