λ
Sigma Notebook

2,171,634

2 × 3 × 113 × 3203
Abundant Even Composite

2,171,634 is even and not a perfect square. Its factorization is 2 × 3 × 113 × 3203 and its 16 divisors sum to 4,383,072.

Prime Factor Structure

Factorization String 2 × 3 × 113 × 3203
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,383,072
Proper Divisor Sum 2,211,438
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2171633 ← → #2171639

Radix Representation

Decimal 2171634
Binary 1000010010001011110010 (22 bits)
Octal 0o10221362
Hexadecimal 0x2122F2

Divisor Catalog (16)

1 2 3 6 113 226 339 678 3,203 6,406 9,609 19,218 361,939 723,878 1,085,817 2,171,634

Collatz Trajectory (228 steps to reach 1)

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

2,171,634 1,085,817 3,257,452 1,628,726 814,363 2,443,090 1,221,545 3,664,636 1,832,318 916,159 2,748,478 1,374,239 4,122,718 2,061,359 6,184,078 3,092,039 9,276,118 4,638,059 13,914,178 6,957,089 20,871,268 10,435,634 5,217,817 15,653,452 7,826,726 3,913,363 11,740,090 5,870,045 17,610,136 8,805,068 4,402,534 2,201,267 6,603,802 3,301,901 9,905,704 4,952,852 2,476,426 1,238,213 3,714,640 1,857,320 928,660 464,330 232,165 696,496 348,248 174,124 87,062 43,531 130,594 65,297 195,892 97,946 48,973 146,920 73,460 36,730 18,365 55,096 27,548 13,774

More profiles

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