λ
Sigma Notebook

7,637,221

19 × 401959
Deficient Odd Composite

7,637,221 is odd and not a perfect square. Its factorization is 19 × 401959 and its 4 divisors sum to 8,039,200.

Prime Factor Structure

Factorization String 19 × 401959
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,039,200
Proper Divisor Sum 401,979
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #7637213 ← → #7637243

Radix Representation

Decimal 7637221
Binary 11101001000100011100101 (23 bits)
Octal 0o35104345
Hexadecimal 0x7488E5

Divisor Catalog (4)

1 19 401,959 7,637,221

Collatz Trajectory (460 steps to reach 1)

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

7,637,221 22,911,664 11,455,832 5,727,916 2,863,958 1,431,979 4,295,938 2,147,969 6,443,908 3,221,954 1,610,977 4,832,932 2,416,466 1,208,233 3,624,700 1,812,350 906,175 2,718,526 1,359,263 4,077,790 2,038,895 6,116,686 3,058,343 9,175,030 4,587,515 13,762,546 6,881,273 20,643,820 10,321,910 5,160,955 15,482,866 7,741,433 23,224,300 11,612,150 5,806,075 17,418,226 8,709,113 26,127,340 13,063,670 6,531,835 19,595,506 9,797,753 29,393,260 14,696,630 7,348,315 22,044,946 11,022,473 33,067,420 16,533,710 8,266,855 24,800,566 12,400,283 37,200,850 18,600,425 55,801,276 27,900,638 13,950,319 41,850,958 20,925,479 62,776,438

More profiles

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