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Atlas › Integer Profiles › Node 7,988,090

7,988,090

2 × 5 × 11 × 101 × 719
Deficient Even Composite

7,988,090 factors as 2 × 5 × 11 × 101 × 719. Its 32 positive divisors give a proper-divisor sum of 7,874,950, so this integer is deficient. The Collatz stopping time is 116 steps.

Prime Factor Structure

Factorization String 2 × 5 × 11 × 101 × 719
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 15,863,040
Proper Divisor Sum 7,874,950
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #7988089 ← → #7988093

Radix Representation

Decimal 7988090
Binary 11110011110001101111010 (23 bits)
Octal 0o36361572
Hexadecimal 0x79E37A

Divisor Catalog (32)

1 2 5 10 11 22 55 101 110 202 505 719 1,010 1,111 1,438 2,222 3,595 5,555 7,190 7,909 11,110 15,818 39,545 72,619 79,090 145,238 363,095 726,190 798,809 1,597,618 3,994,045 7,988,090

Collatz Trajectory (116 steps to reach 1)

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

7,988,090 3,994,045 11,982,136 5,991,068 2,995,534 1,497,767 4,493,302 2,246,651 6,739,954 3,369,977 10,109,932 5,054,966 2,527,483 7,582,450 3,791,225 11,373,676 5,686,838 2,843,419 8,530,258 4,265,129 12,795,388 6,397,694 3,198,847 9,596,542 4,798,271 14,394,814 7,197,407 21,592,222 10,796,111 32,388,334 16,194,167 48,582,502 24,291,251 72,873,754 36,436,877 109,310,632 54,655,316 27,327,658 13,663,829 40,991,488 20,495,744 10,247,872 5,123,936 2,561,968 1,280,984 640,492 320,246 160,123 480,370 240,185 720,556 360,278 180,139 540,418 270,209 810,628 405,314 202,657 607,972 303,986

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