λ
Ratio Atlas
Atlas › Integer Profiles › Node 28,097,034

28,097,034

2 × 3 × 7 × 157 × 4261
Abundant Even Composite

28,097,034 factors as 2 × 3 × 7 × 157 × 4261. Its 32 positive divisors give a proper-divisor sum of 36,548,982, so this integer is abundant. The Collatz stopping time is 131 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 157 × 4261
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 64,646,016
Proper Divisor Sum 36,548,982
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #28097021 ← → #28097051

Radix Representation

Decimal 28097034
Binary 1101011001011101000001010 (25 bits)
Octal 0o153135012
Hexadecimal 0x1ACBA0A

Divisor Catalog (32)

1 2 3 6 7 14 21 42 157 314 471 942 1,099 2,198 3,297 4,261 6,594 8,522 12,783 25,566 29,827 59,654 89,481 178,962 668,977 1,337,954 2,006,931 4,013,862 4,682,839 9,365,678 14,048,517 28,097,034

Collatz Trajectory (131 steps to reach 1)

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

28,097,034 14,048,517 42,145,552 21,072,776 10,536,388 5,268,194 2,634,097 7,902,292 3,951,146 1,975,573 5,926,720 2,963,360 1,481,680 740,840 370,420 185,210 92,605 277,816 138,908 69,454 34,727 104,182 52,091 156,274 78,137 234,412 117,206 58,603 175,810 87,905 263,716 131,858 65,929 197,788 98,894 49,447 148,342 74,171 222,514 111,257 333,772 166,886 83,443 250,330 125,165 375,496 187,748 93,874 46,937 140,812 70,406 35,203 105,610 52,805 158,416 79,208 39,604 19,802 9,901 29,704

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #28,097,033 Browse Full Index Next Integer #28,097,035 →