λ
Harmonic Matrix

3,170,015

5 × 634003
Deficient Odd Composite

3,170,015 has digital root 8. The neighboring primes are 3169981 and 3170039; its proper-divisor sum differs from the starting integer by -2,536,006.

Prime Factor Structure

Factorization String 5 × 634003
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 3,804,024
Proper Divisor Sum 634,009
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #3169981 ← → #3170039

Radix Representation

Decimal 3170015
Binary 1100000101111011011111 (22 bits)
Octal 0o14057337
Hexadecimal 0x305EDF

Divisor Catalog (4)

1 5 634,003 3,170,015

Collatz Trajectory (270 steps to reach 1)

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

3,170,015 9,510,046 4,755,023 14,265,070 7,132,535 21,397,606 10,698,803 32,096,410 16,048,205 48,144,616 24,072,308 12,036,154 6,018,077 18,054,232 9,027,116 4,513,558 2,256,779 6,770,338 3,385,169 10,155,508 5,077,754 2,538,877 7,616,632 3,808,316 1,904,158 952,079 2,856,238 1,428,119 4,284,358 2,142,179 6,426,538 3,213,269 9,639,808 4,819,904 2,409,952 1,204,976 602,488 301,244 150,622 75,311 225,934 112,967 338,902 169,451 508,354 254,177 762,532 381,266 190,633 571,900 285,950 142,975 428,926 214,463 643,390 321,695 965,086 482,543 1,447,630 723,815

More profiles

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