8,097,376

2⁵ × 7 × 37 × 977

8,097,376 has the prime decomposition 2^5 × 7 × 37 × 977. Its 4 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 7 × 37 × 977

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 18,730,656

Proper Divisor Sum 10,633,280

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #8097371 ← → #8097431

Radix Representation

Decimal	8097376
Binary	11110111000111001100000 (23 bits)
Octal	0o36707140
Hexadecimal	0x7B8E60

Divisor Catalog (48)

1 2 4 7 8 14 16 28 32 37 56 74 112 148 224 259 296 518 592 977 1,036 1,184 1,954 2,072 3,908 4,144 6,839 7,816 8,288 13,678 15,632 27,356 31,264 36,149 54,712 72,298 109,424 144,596 218,848 253,043 289,192 506,086 578,384 1,012,172 1,156,768 2,024,344 4,048,688 8,097,376

Collatz Trajectory (85 steps to reach 1)

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

8,097,376 4,048,688 2,024,344 1,012,172 506,086 253,043 759,130 379,565 1,138,696 569,348 284,674 142,337 427,012 213,506 106,753 320,260 160,130 80,065 240,196 120,098 60,049 180,148 90,074 45,037 135,112 67,556 33,778 16,889 50,668 25,334 12,667 38,002 19,001 57,004 28,502 14,251 42,754 21,377 64,132 32,066 16,033 48,100 24,050 12,025 36,076 18,038 9,019 27,058 13,529 40,588 20,294 10,147 30,442 15,221 45,664 22,832 11,416 5,708 2,854 1,427

← Previous Integer #8,097,375 Browse Full Index Next Integer #8,097,377 →