λ
Harmonic Matrix

3,571,167

3 × 67 × 109 × 163
Deficient Odd Composite

3,571,167 has digital root 3. The neighboring primes are 3571163 and 3571181; its proper-divisor sum differs from the starting integer by -2,235,454.

Prime Factor Structure

Factorization String 3 × 67 × 109 × 163
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,906,880
Proper Divisor Sum 1,335,713
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3571163 ← → #3571181

Radix Representation

Decimal 3571167
Binary 1101100111110111011111 (22 bits)
Octal 0o15476737
Hexadecimal 0x367DDF

Divisor Catalog (16)

1 3 67 109 163 201 327 489 7,303 10,921 17,767 21,909 32,763 53,301 1,190,389 3,571,167

Collatz Trajectory (97 steps to reach 1)

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

3,571,167 10,713,502 5,356,751 16,070,254 8,035,127 24,105,382 12,052,691 36,158,074 18,079,037 54,237,112 27,118,556 13,559,278 6,779,639 20,338,918 10,169,459 30,508,378 15,254,189 45,762,568 22,881,284 11,440,642 5,720,321 17,160,964 8,580,482 4,290,241 12,870,724 6,435,362 3,217,681 9,653,044 4,826,522 2,413,261 7,239,784 3,619,892 1,809,946 904,973 2,714,920 1,357,460 678,730 339,365 1,018,096 509,048 254,524 127,262 63,631 190,894 95,447 286,342 143,171 429,514 214,757 644,272 322,136 161,068 80,534 40,267 120,802 60,401 181,204 90,602 45,301 135,904

More profiles

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