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Atlas › Integer Profiles › Node 4,752,146

4,752,146

2 × 7 × 17 × 41 × 487
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 7 × 17 × 41 × 487
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,854,272
Proper Divisor Sum 4,102,126
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #4752133 ← → #4752157

Radix Representation

Decimal 4752146
Binary 10010001000001100010010 (23 bits)
Octal 0o22101422
Hexadecimal 0x488312

Divisor Catalog (32)

1 2 7 14 17 34 41 82 119 238 287 487 574 697 974 1,394 3,409 4,879 6,818 8,279 9,758 16,558 19,967 39,934 57,953 115,906 139,769 279,538 339,439 678,878 2,376,073 4,752,146

Collatz Trajectory (123 steps to reach 1)

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

4,752,146 2,376,073 7,128,220 3,564,110 1,782,055 5,346,166 2,673,083 8,019,250 4,009,625 12,028,876 6,014,438 3,007,219 9,021,658 4,510,829 13,532,488 6,766,244 3,383,122 1,691,561 5,074,684 2,537,342 1,268,671 3,806,014 1,903,007 5,709,022 2,854,511 8,563,534 4,281,767 12,845,302 6,422,651 19,267,954 9,633,977 28,901,932 14,450,966 7,225,483 21,676,450 10,838,225 32,514,676 16,257,338 8,128,669 24,386,008 12,193,004 6,096,502 3,048,251 9,144,754 4,572,377 13,717,132 6,858,566 3,429,283 10,287,850 5,143,925 15,431,776 7,715,888 3,857,944 1,928,972 964,486 482,243 1,446,730 723,365 2,170,096 1,085,048

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