2,792,275

5² × 61 × 1831

2,792,275 factors as 5^2 × 61 × 1831. Its 12 positive divisors give a proper-divisor sum of 728,829, so this integer is deficient. The Collatz stopping time is 138 steps.

Prime Factor Structure

Factorization String 5^2 × 61 × 1831

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 3,521,104

Proper Divisor Sum 728,829

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #2792261 ← → #2792281

Radix Representation

Decimal	2792275
Binary	1010101001101101010011 (22 bits)
Octal	0o12515523
Hexadecimal	0x2A9B53

Divisor Catalog (12)

1 5 25 61 305 1,525 1,831 9,155 45,775 111,691 558,455 2,792,275

Collatz Trajectory (138 steps to reach 1)

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

2,792,275 8,376,826 4,188,413 12,565,240 6,282,620 3,141,310 1,570,655 4,711,966 2,355,983 7,067,950 3,533,975 10,601,926 5,300,963 15,902,890 7,951,445 23,854,336 11,927,168 5,963,584 2,981,792 1,490,896 745,448 372,724 186,362 93,181 279,544 139,772 69,886 34,943 104,830 52,415 157,246 78,623 235,870 117,935 353,806 176,903 530,710 265,355 796,066 398,033 1,194,100 597,050 298,525 895,576 447,788 223,894 111,947 335,842 167,921 503,764 251,882 125,941 377,824 188,912 94,456 47,228 23,614 11,807 35,422 17,711

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