λ
Sigma Notebook

2,103,015

3 × 5 × 19 × 47 × 157
Deficient Odd Composite

2,103,015 is odd and not a perfect square. Its factorization is 3 × 5 × 19 × 47 × 157 and its 32 divisors sum to 3,640,320.

Prime Factor Structure

Factorization String 3 × 5 × 19 × 47 × 157
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 3,640,320
Proper Divisor Sum 1,537,305
Digit Sum / Digital Root 12 (Root: 3)
Adjacent Primes #2103011 ← → #2103029

Radix Representation

Decimal 2103015
Binary 1000000001011011100111 (22 bits)
Octal 0o10013347
Hexadecimal 0x2016E7

Divisor Catalog (32)

1 3 5 15 19 47 57 95 141 157 235 285 471 705 785 893 2,355 2,679 2,983 4,465 7,379 8,949 13,395 14,915 22,137 36,895 44,745 110,685 140,201 420,603 701,005 2,103,015

Collatz Trajectory (104 steps to reach 1)

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

2,103,015 6,309,046 3,154,523 9,463,570 4,731,785 14,195,356 7,097,678 3,548,839 10,646,518 5,323,259 15,969,778 7,984,889 23,954,668 11,977,334 5,988,667 17,966,002 8,983,001 26,949,004 13,474,502 6,737,251 20,211,754 10,105,877 30,317,632 15,158,816 7,579,408 3,789,704 1,894,852 947,426 473,713 1,421,140 710,570 355,285 1,065,856 532,928 266,464 133,232 66,616 33,308 16,654 8,327 24,982 12,491 37,474 18,737 56,212 28,106 14,053 42,160 21,080 10,540 5,270 2,635 7,906 3,953 11,860 5,930 2,965 8,896 4,448 2,224

More profiles

← Previous Integer #2,103,014 Browse Full Index Next Integer #2,103,016 →