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Atlas › Integer Profiles › Node 46,352,735

46,352,735

5 × 11 × 13 × 241 × 269
Deficient Odd Composite

Prime Factor Structure

Factorization String 5 × 11 × 13 × 241 × 269
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 65,862,720
Proper Divisor Sum 19,509,985
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #46352707 ← → #46352743

Radix Representation

Decimal 46352735
Binary 10110000110100100101011111 (26 bits)
Octal 0o260644537
Hexadecimal 0x2C3495F

Divisor Catalog (32)

1 5 11 13 55 65 143 241 269 715 1,205 1,345 2,651 2,959 3,133 3,497 13,255 14,795 15,665 17,485 34,463 38,467 64,829 172,315 192,335 324,145 713,119 842,777 3,565,595 4,213,885 9,270,547 46,352,735

Collatz Trajectory (204 steps to reach 1)

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

46,352,735 139,058,206 69,529,103 208,587,310 104,293,655 312,880,966 156,440,483 469,321,450 234,660,725 703,982,176 351,991,088 175,995,544 87,997,772 43,998,886 21,999,443 65,998,330 32,999,165 98,997,496 49,498,748 24,749,374 12,374,687 37,124,062 18,562,031 55,686,094 27,843,047 83,529,142 41,764,571 125,293,714 62,646,857 187,940,572 93,970,286 46,985,143 140,955,430 70,477,715 211,433,146 105,716,573 317,149,720 158,574,860 79,287,430 39,643,715 118,931,146 59,465,573 178,396,720 89,198,360 44,599,180 22,299,590 11,149,795 33,449,386 16,724,693 50,174,080 25,087,040 12,543,520 6,271,760 3,135,880 1,567,940 783,970 391,985 1,175,956 587,978 293,989

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