λ
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Atlas › Integer Profiles › Node 36,025,154

36,025,154

2 × 11 × 83 × 109 × 181
Deficient Even Composite

36,025,154 factors as 2 × 11 × 83 × 109 × 181. Its 32 positive divisors give a proper-divisor sum of 24,515,326, so this integer is deficient. The Collatz stopping time is 113 steps.

Prime Factor Structure

Factorization String 2 × 11 × 83 × 109 × 181
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 60,540,480
Proper Divisor Sum 24,515,326
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #36025141 ← → #36025189

Radix Representation

Decimal 36025154
Binary 10001001011011001101000010 (26 bits)
Octal 0o211331502
Hexadecimal 0x225B342

Divisor Catalog (32)

1 2 11 22 83 109 166 181 218 362 913 1,199 1,826 1,991 2,398 3,982 9,047 15,023 18,094 19,729 30,046 39,458 99,517 165,253 199,034 217,019 330,506 434,038 1,637,507 3,275,014 18,012,577 36,025,154

Collatz Trajectory (113 steps to reach 1)

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

36,025,154 18,012,577 54,037,732 27,018,866 13,509,433 40,528,300 20,264,150 10,132,075 30,396,226 15,198,113 45,594,340 22,797,170 11,398,585 34,195,756 17,097,878 8,548,939 25,646,818 12,823,409 38,470,228 19,235,114 9,617,557 28,852,672 14,426,336 7,213,168 3,606,584 1,803,292 901,646 450,823 1,352,470 676,235 2,028,706 1,014,353 3,043,060 1,521,530 760,765 2,282,296 1,141,148 570,574 285,287 855,862 427,931 1,283,794 641,897 1,925,692 962,846 481,423 1,444,270 722,135 2,166,406 1,083,203 3,249,610 1,624,805 4,874,416 2,437,208 1,218,604 609,302 304,651 913,954 456,977 1,370,932

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