2,693,776

2⁴ × 31 × 5431

2,693,776 factors as 2^4 × 31 × 5431. Its 20 positive divisors give a proper-divisor sum of 2,694,768, so this integer is abundant. The Collatz stopping time is 231 steps.

Prime Factor Structure

Factorization String 2^4 × 31 × 5431

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 5,388,544

Proper Divisor Sum 2,694,768

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #2693767 ← → #2693777

Radix Representation

Decimal	2693776
Binary	1010010001101010010000 (22 bits)
Octal	0o12215220
Hexadecimal	0x291A90

Divisor Catalog (20)

Collatz Trajectory (231 steps to reach 1)

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

2,693,776 1,346,888 673,444 336,722 168,361 505,084 252,542 126,271 378,814 189,407 568,222 284,111 852,334 426,167 1,278,502 639,251 1,917,754 958,877 2,876,632 1,438,316 719,158 359,579 1,078,738 539,369 1,618,108 809,054 404,527 1,213,582 606,791 1,820,374 910,187 2,730,562 1,365,281 4,095,844 2,047,922 1,023,961 3,071,884 1,535,942 767,971 2,303,914 1,151,957 3,455,872 1,727,936 863,968 431,984 215,992 107,996 53,998 26,999 80,998 40,499 121,498 60,749 182,248 91,124 45,562 22,781 68,344 34,172 17,086

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