λ
Harmonic Matrix

8,088,681

3 × 37 × 72871
Deficient Odd Composite

8,088,681 has digital root 3. The neighboring primes are 8088679 and 8088721; its proper-divisor sum differs from the starting integer by -5,100,818.

Prime Factor Structure

Factorization String 3 × 37 × 72871
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,076,544
Proper Divisor Sum 2,987,863
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #8088679 ← → #8088721

Radix Representation

Decimal 8088681
Binary 11110110110110001101001 (23 bits)
Octal 0o36666151
Hexadecimal 0x7B6C69

Divisor Catalog (8)

1 3 37 111 72,871 218,613 2,696,227 8,088,681

Collatz Trajectory (248 steps to reach 1)

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

8,088,681 24,266,044 12,133,022 6,066,511 18,199,534 9,099,767 27,299,302 13,649,651 40,948,954 20,474,477 61,423,432 30,711,716 15,355,858 7,677,929 23,033,788 11,516,894 5,758,447 17,275,342 8,637,671 25,913,014 12,956,507 38,869,522 19,434,761 58,304,284 29,152,142 14,576,071 43,728,214 21,864,107 65,592,322 32,796,161 98,388,484 49,194,242 24,597,121 73,791,364 36,895,682 18,447,841 55,343,524 27,671,762 13,835,881 41,507,644 20,753,822 10,376,911 31,130,734 15,565,367 46,696,102 23,348,051 70,044,154 35,022,077 105,066,232 52,533,116 26,266,558 13,133,279 39,399,838 19,699,919 59,099,758 29,549,879 88,649,638 44,324,819 132,974,458 66,487,229

More profiles

← Previous Integer #8,088,680 Browse Full Index Next Integer #8,088,682 →