λ
Integer Codex

2,171,531

73 × 151 × 197
Deficient Odd Composite

For 2,171,531, the 8 positive divisors have a total of 2,227,104. Removing 2,171,531 leaves 55,573, which gives the deficient classification.

Prime Factor Structure

Factorization String 73 × 151 × 197
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,227,104
Proper Divisor Sum 55,573
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #2171527 ← → #2171551

Radix Representation

Decimal 2171531
Binary 1000010010001010001011 (22 bits)
Octal 0o10221213
Hexadecimal 0x21228B

Divisor Catalog (8)

1 73 151 197 11,023 14,381 29,747 2,171,531

Collatz Trajectory (117 steps to reach 1)

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

2,171,531 6,514,594 3,257,297 9,771,892 4,885,946 2,442,973 7,328,920 3,664,460 1,832,230 916,115 2,748,346 1,374,173 4,122,520 2,061,260 1,030,630 515,315 1,545,946 772,973 2,318,920 1,159,460 579,730 289,865 869,596 434,798 217,399 652,198 326,099 978,298 489,149 1,467,448 733,724 366,862 183,431 550,294 275,147 825,442 412,721 1,238,164 619,082 309,541 928,624 464,312 232,156 116,078 58,039 174,118 87,059 261,178 130,589 391,768 195,884 97,942 48,971 146,914 73,457 220,372 110,186 55,093 165,280 82,640

More profiles

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