λ
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Atlas › Integer Profiles › Node 29,182,990

29,182,990

2 × 5 × 29 × 103 × 977
Deficient Even Composite

29,182,990 factors as 2 × 5 × 29 × 103 × 977. Its 32 positive divisors give a proper-divisor sum of 25,741,490, so this integer is deficient. The Collatz stopping time is 144 steps.

Prime Factor Structure

Factorization String 2 × 5 × 29 × 103 × 977
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 54,924,480
Proper Divisor Sum 25,741,490
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #29182987 ← → #29183009

Radix Representation

Decimal 29182990
Binary 1101111010100110000001110 (25 bits)
Octal 0o157246016
Hexadecimal 0x1BD4C0E

Divisor Catalog (32)

1 2 5 10 29 58 103 145 206 290 515 977 1,030 1,954 2,987 4,885 5,974 9,770 14,935 28,333 29,870 56,666 100,631 141,665 201,262 283,330 503,155 1,006,310 2,918,299 5,836,598 14,591,495 29,182,990

Collatz Trajectory (144 steps to reach 1)

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

29,182,990 14,591,495 43,774,486 21,887,243 65,661,730 32,830,865 98,492,596 49,246,298 24,623,149 73,869,448 36,934,724 18,467,362 9,233,681 27,701,044 13,850,522 6,925,261 20,775,784 10,387,892 5,193,946 2,596,973 7,790,920 3,895,460 1,947,730 973,865 2,921,596 1,460,798 730,399 2,191,198 1,095,599 3,286,798 1,643,399 4,930,198 2,465,099 7,395,298 3,697,649 11,092,948 5,546,474 2,773,237 8,319,712 4,159,856 2,079,928 1,039,964 519,982 259,991 779,974 389,987 1,169,962 584,981 1,754,944 877,472 438,736 219,368 109,684 54,842 27,421 82,264 41,132 20,566 10,283 30,850

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