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Atlas › Integer Profiles › Node 40,366,156

40,366,156

22 × 79 × 139 × 919
Deficient Even Composite

40,366,156 factors as 2^2 × 79 × 139 × 919. Its 24 positive divisors give a proper-divisor sum of 31,761,844, so this integer is deficient. The Collatz stopping time is 209 steps.

Prime Factor Structure

Factorization String 2^2 × 79 × 139 × 919
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 72,128,000
Proper Divisor Sum 31,761,844
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #40366133 ← → #40366159

Radix Representation

Decimal 40366156
Binary 10011001111111000001001100 (26 bits)
Octal 0o231770114
Hexadecimal 0x267F04C

Divisor Catalog (24)

1 2 4 79 139 158 278 316 556 919 1,838 3,676 10,981 21,962 43,924 72,601 127,741 145,202 255,482 290,404 510,964 10,091,539 20,183,078 40,366,156

Collatz Trajectory (209 steps to reach 1)

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

40,366,156 20,183,078 10,091,539 30,274,618 15,137,309 45,411,928 22,705,964 11,352,982 5,676,491 17,029,474 8,514,737 25,544,212 12,772,106 6,386,053 19,158,160 9,579,080 4,789,540 2,394,770 1,197,385 3,592,156 1,796,078 898,039 2,694,118 1,347,059 4,041,178 2,020,589 6,061,768 3,030,884 1,515,442 757,721 2,273,164 1,136,582 568,291 1,704,874 852,437 2,557,312 1,278,656 639,328 319,664 159,832 79,916 39,958 19,979 59,938 29,969 89,908 44,954 22,477 67,432 33,716 16,858 8,429 25,288 12,644 6,322 3,161 9,484 4,742 2,371 7,114

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