λ
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Atlas › Integer Profiles › Node 46,036,638

46,036,638

2 × 32 × 59 × 67 × 647
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 59 × 67 × 647
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 103,109,760
Proper Divisor Sum 57,073,122
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #46036637 ← → #46036673

Radix Representation

Decimal 46036638
Binary 10101111100111011010011110 (26 bits)
Octal 0o257473236
Hexadecimal 0x2BE769E

Divisor Catalog (48)

1 2 3 6 9 18 59 67 118 134 177 201 354 402 531 603 647 1,062 1,206 1,294 1,941 3,882 3,953 5,823 7,906 11,646 11,859 23,718 35,577 38,173 43,349 71,154 76,346 86,698 114,519 130,047 229,038 260,094 343,557 390,141 687,114 780,282 2,557,591 5,115,182 7,672,773 15,345,546 23,018,319 46,036,638

Collatz Trajectory (124 steps to reach 1)

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

46,036,638 23,018,319 69,054,958 34,527,479 103,582,438 51,791,219 155,373,658 77,686,829 233,060,488 116,530,244 58,265,122 29,132,561 87,397,684 43,698,842 21,849,421 65,548,264 32,774,132 16,387,066 8,193,533 24,580,600 12,290,300 6,145,150 3,072,575 9,217,726 4,608,863 13,826,590 6,913,295 20,739,886 10,369,943 31,109,830 15,554,915 46,664,746 23,332,373 69,997,120 34,998,560 17,499,280 8,749,640 4,374,820 2,187,410 1,093,705 3,281,116 1,640,558 820,279 2,460,838 1,230,419 3,691,258 1,845,629 5,536,888 2,768,444 1,384,222 692,111 2,076,334 1,038,167 3,114,502 1,557,251 4,671,754 2,335,877 7,007,632 3,503,816 1,751,908

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