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Atlas › Integer Profiles › Node 4,374,567

4,374,567

34 × 53 × 1019
Deficient Odd Composite

4,374,567 factors as 3^4 × 53 × 1019. Its 20 positive divisors give a proper-divisor sum of 2,290,113, so this integer is deficient. The Collatz stopping time is 211 steps.

Prime Factor Structure

Factorization String 3^4 × 53 × 1019
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 6,664,680
Proper Divisor Sum 2,290,113
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #4374553 ← → #4374571

Radix Representation

Decimal 4374567
Binary 10000101100000000100111 (23 bits)
Octal 0o20540047
Hexadecimal 0x42C027

Divisor Catalog (20)

1 3 9 27 53 81 159 477 1,019 1,431 3,057 4,293 9,171 27,513 54,007 82,539 162,021 486,063 1,458,189 4,374,567

Collatz Trajectory (211 steps to reach 1)

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

4,374,567 13,123,702 6,561,851 19,685,554 9,842,777 29,528,332 14,764,166 7,382,083 22,146,250 11,073,125 33,219,376 16,609,688 8,304,844 4,152,422 2,076,211 6,228,634 3,114,317 9,342,952 4,671,476 2,335,738 1,167,869 3,503,608 1,751,804 875,902 437,951 1,313,854 656,927 1,970,782 985,391 2,956,174 1,478,087 4,434,262 2,217,131 6,651,394 3,325,697 9,977,092 4,988,546 2,494,273 7,482,820 3,741,410 1,870,705 5,612,116 2,806,058 1,403,029 4,209,088 2,104,544 1,052,272 526,136 263,068 131,534 65,767 197,302 98,651 295,954 147,977 443,932 221,966 110,983 332,950 166,475

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