λ
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Atlas › Integer Profiles › Node 4,084,498

4,084,498

2 × 11 × 31 × 53 × 113
Deficient Even Composite

4,084,498 factors as 2 × 11 × 31 × 53 × 113. Its 32 positive divisors give a proper-divisor sum of 3,007,214, so this integer is deficient. The Collatz stopping time is 229 steps.

Prime Factor Structure

Factorization String 2 × 11 × 31 × 53 × 113
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,091,712
Proper Divisor Sum 3,007,214
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #4084439 ← → #4084517

Radix Representation

Decimal 4084498
Binary 1111100101001100010010 (22 bits)
Octal 0o17451422
Hexadecimal 0x3E5312

Divisor Catalog (32)

1 2 11 22 31 53 62 106 113 226 341 583 682 1,166 1,243 1,643 2,486 3,286 3,503 5,989 7,006 11,978 18,073 36,146 38,533 65,879 77,066 131,758 185,659 371,318 2,042,249 4,084,498

Collatz Trajectory (229 steps to reach 1)

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

4,084,498 2,042,249 6,126,748 3,063,374 1,531,687 4,595,062 2,297,531 6,892,594 3,446,297 10,338,892 5,169,446 2,584,723 7,754,170 3,877,085 11,631,256 5,815,628 2,907,814 1,453,907 4,361,722 2,180,861 6,542,584 3,271,292 1,635,646 817,823 2,453,470 1,226,735 3,680,206 1,840,103 5,520,310 2,760,155 8,280,466 4,140,233 12,420,700 6,210,350 3,105,175 9,315,526 4,657,763 13,973,290 6,986,645 20,959,936 10,479,968 5,239,984 2,619,992 1,309,996 654,998 327,499 982,498 491,249 1,473,748 736,874 368,437 1,105,312 552,656 276,328 138,164 69,082 34,541 103,624 51,812 25,906

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