2,762,055

3² × 5 × 61379

2,762,055 factors as 3^2 × 5 × 61379. Its 12 positive divisors give a proper-divisor sum of 2,025,585, so this integer is deficient. The Collatz stopping time is 275 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 61379

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,787,640

Proper Divisor Sum 2,025,585

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #2762033 ← → #2762063

Radix Representation

Decimal	2762055
Binary	1010100010010101000111 (22 bits)
Octal	0o12422507
Hexadecimal	0x2A2547

Divisor Catalog (12)

1 3 5 9 15 45 61,379 184,137 306,895 552,411 920,685 2,762,055

Collatz Trajectory (275 steps to reach 1)

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

2,762,055 8,286,166 4,143,083 12,429,250 6,214,625 18,643,876 9,321,938 4,660,969 13,982,908 6,991,454 3,495,727 10,487,182 5,243,591 15,730,774 7,865,387 23,596,162 11,798,081 35,394,244 17,697,122 8,848,561 26,545,684 13,272,842 6,636,421 19,909,264 9,954,632 4,977,316 2,488,658 1,244,329 3,732,988 1,866,494 933,247 2,799,742 1,399,871 4,199,614 2,099,807 6,299,422 3,149,711 9,449,134 4,724,567 14,173,702 7,086,851 21,260,554 10,630,277 31,890,832 15,945,416 7,972,708 3,986,354 1,993,177 5,979,532 2,989,766 1,494,883 4,484,650 2,242,325 6,726,976 3,363,488 1,681,744 840,872 420,436 210,218 105,109

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