λ
Sigma Notebook

7,021,025

52 × 113 × 211
Deficient Odd Composite

7,021,025 is odd and not a perfect square. Its factorization is 5^2 × 11^3 × 211 and its 24 divisors sum to 9,621,408.

Prime Factor Structure

Factorization String 5^2 × 11^3 × 211
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 9,621,408
Proper Divisor Sum 2,600,383
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #7020991 ← → #7021033

Radix Representation

Decimal 7021025
Binary 11010110010000111100001 (23 bits)
Octal 0o32620741
Hexadecimal 0x6B21E1

Divisor Catalog (24)

1 5 11 25 55 121 211 275 605 1,055 1,331 2,321 3,025 5,275 6,655 11,605 25,531 33,275 58,025 127,655 280,841 638,275 1,404,205 7,021,025

Collatz Trajectory (85 steps to reach 1)

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

7,021,025 21,063,076 10,531,538 5,265,769 15,797,308 7,898,654 3,949,327 11,847,982 5,923,991 17,771,974 8,885,987 26,657,962 13,328,981 39,986,944 19,993,472 9,996,736 4,998,368 2,499,184 1,249,592 624,796 312,398 156,199 468,598 234,299 702,898 351,449 1,054,348 527,174 263,587 790,762 395,381 1,186,144 593,072 296,536 148,268 74,134 37,067 111,202 55,601 166,804 83,402 41,701 125,104 62,552 31,276 15,638 7,819 23,458 11,729 35,188 17,594 8,797 26,392 13,196 6,598 3,299 9,898 4,949 14,848 7,424

More profiles

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