8,097,784

2³ × 173 × 5851

8,097,784 factors as 2^3 × 173 × 5851. Its 16 positive divisors give a proper-divisor sum of 7,175,936, so this integer is deficient. The Collatz stopping time is 142 steps.

Prime Factor Structure

Factorization String 2^3 × 173 × 5851

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 15,273,720

Proper Divisor Sum 7,175,936

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #8097779 ← → #8097823

Radix Representation

Decimal	8097784
Binary	11110111000111111111000 (23 bits)
Octal	0o36707770
Hexadecimal	0x7B8FF8

Divisor Catalog (16)

1 2 4 8 173 346 692 1,384 5,851 11,702 23,404 46,808 1,012,223 2,024,446 4,048,892 8,097,784

Collatz Trajectory (142 steps to reach 1)

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

8,097,784 4,048,892 2,024,446 1,012,223 3,036,670 1,518,335 4,555,006 2,277,503 6,832,510 3,416,255 10,248,766 5,124,383 15,373,150 7,686,575 23,059,726 11,529,863 34,589,590 17,294,795 51,884,386 25,942,193 77,826,580 38,913,290 19,456,645 58,369,936 29,184,968 14,592,484 7,296,242 3,648,121 10,944,364 5,472,182 2,736,091 8,208,274 4,104,137 12,312,412 6,156,206 3,078,103 9,234,310 4,617,155 13,851,466 6,925,733 20,777,200 10,388,600 5,194,300 2,597,150 1,298,575 3,895,726 1,947,863 5,843,590 2,921,795 8,765,386 4,382,693 13,148,080 6,574,040 3,287,020 1,643,510 821,755 2,465,266 1,232,633 3,697,900 1,848,950

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