27,761,792

2⁷ × 107 × 2027

27,761,792 factors as 2^7 × 107 × 2027. Its 32 positive divisors give a proper-divisor sum of 28,089,328, so this integer is abundant. The Collatz stopping time is 87 steps.

Prime Factor Structure

Factorization String 2^7 × 107 × 2027

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 55,851,120

Proper Divisor Sum 28,089,328

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #27761753 ← → #27761807

Radix Representation

Decimal	27761792
Binary	1101001111001110010000000 (25 bits)
Octal	0o151716200
Hexadecimal	0x1A79C80

Divisor Catalog (32)

Collatz Trajectory (87 steps to reach 1)

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

27,761,792 13,880,896 6,940,448 3,470,224 1,735,112 867,556 433,778 216,889 650,668 325,334 162,667 488,002 244,001 732,004 366,002 183,001 549,004 274,502 137,251 411,754 205,877 617,632 308,816 154,408 77,204 38,602 19,301 57,904 28,952 14,476 7,238 3,619 10,858 5,429 16,288 8,144 4,072 2,036 1,018 509 1,528 764 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820

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