λ
Sigma Notebook

2,674,212

22 × 3 × 19 × 37 × 317
Abundant Even Composite

2,674,212 is even and not a perfect square. Its factorization is 2^2 × 3 × 19 × 37 × 317 and its 48 divisors sum to 6,767,040.

Prime Factor Structure

Factorization String 2^2 × 3 × 19 × 37 × 317
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 6,767,040
Proper Divisor Sum 4,092,828
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2674207 ← → #2674223

Radix Representation

Decimal 2674212
Binary 1010001100111000100100 (22 bits)
Octal 0o12147044
Hexadecimal 0x28CE24

Divisor Catalog (48)

1 2 3 4 6 12 19 37 38 57 74 76 111 114 148 222 228 317 444 634 703 951 1,268 1,406 1,902 2,109 2,812 3,804 4,218 6,023 8,436 11,729 12,046 18,069 23,458 24,092 35,187 36,138 46,916 70,374 72,276 140,748 222,851 445,702 668,553 891,404 1,337,106 2,674,212

Collatz Trajectory (94 steps to reach 1)

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

2,674,212 1,337,106 668,553 2,005,660 1,002,830 501,415 1,504,246 752,123 2,256,370 1,128,185 3,384,556 1,692,278 846,139 2,538,418 1,269,209 3,807,628 1,903,814 951,907 2,855,722 1,427,861 4,283,584 2,141,792 1,070,896 535,448 267,724 133,862 66,931 200,794 100,397 301,192 150,596 75,298 37,649 112,948 56,474 28,237 84,712 42,356 21,178 10,589 31,768 15,884 7,942 3,971 11,914 5,957 17,872 8,936 4,468 2,234 1,117 3,352 1,676 838 419 1,258 629 1,888 944 472

More profiles

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