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Atlas › Integer Profiles › Node 46,226,752

46,226,752

26 × 11 × 13 × 5051
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 11 × 13 × 5051
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 107,789,472
Proper Divisor Sum 61,562,720
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #46226749 ← → #46226773

Radix Representation

Decimal 46226752
Binary 10110000010101110101000000 (26 bits)
Octal 0o260256500
Hexadecimal 0x2C15D40

Divisor Catalog (56)

1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 143 176 208 286 352 416 572 704 832 1,144 2,288 4,576 5,051 9,152 10,102 20,204 40,408 55,561 65,663 80,816 111,122 131,326 161,632 222,244 262,652 323,264 444,488 525,304 722,293 888,976 1,050,608 1,444,586 1,777,952 2,101,216 2,889,172 3,555,904 4,202,432 5,778,344 11,556,688 23,113,376 46,226,752

Collatz Trajectory (54 steps to reach 1)

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

46,226,752 23,113,376 11,556,688 5,778,344 2,889,172 1,444,586 722,293 2,166,880 1,083,440 541,720 270,860 135,430 67,715 203,146 101,573 304,720 152,360 76,180 38,090 19,045 57,136 28,568 14,284 7,142 3,571 10,714 5,357 16,072 8,036 4,018 2,009 6,028 3,014 1,507 4,522 2,261 6,784 3,392 1,696 848 424 212 106 53 160 80 40 20 10 5 16 8 4 2 1

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