λ
Harmonic Matrix

5,587,815

3 × 5 × 172 × 1289
Deficient Odd Composite

5,587,815 has digital root 3. The neighboring primes are 5587811 and 5587823; its proper-divisor sum differs from the starting integer by -1,670,910.

Prime Factor Structure

Factorization String 3 × 5 × 17^2 × 1289
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 9,504,720
Proper Divisor Sum 3,916,905
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #5587811 ← → #5587823

Radix Representation

Decimal 5587815
Binary 10101010100001101100111 (23 bits)
Octal 0o25241547
Hexadecimal 0x554367

Divisor Catalog (24)

1 3 5 15 17 51 85 255 289 867 1,289 1,445 3,867 4,335 6,445 19,335 21,913 65,739 109,565 328,695 372,521 1,117,563 1,862,605 5,587,815

Collatz Trajectory (139 steps to reach 1)

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

5,587,815 16,763,446 8,381,723 25,145,170 12,572,585 37,717,756 18,858,878 9,429,439 28,288,318 14,144,159 42,432,478 21,216,239 63,648,718 31,824,359 95,473,078 47,736,539 143,209,618 71,604,809 214,814,428 107,407,214 53,703,607 161,110,822 80,555,411 241,666,234 120,833,117 362,499,352 181,249,676 90,624,838 45,312,419 135,937,258 67,968,629 203,905,888 101,952,944 50,976,472 25,488,236 12,744,118 6,372,059 19,116,178 9,558,089 28,674,268 14,337,134 7,168,567 21,505,702 10,752,851 32,258,554 16,129,277 48,387,832 24,193,916 12,096,958 6,048,479 18,145,438 9,072,719 27,218,158 13,609,079 40,827,238 20,413,619 61,240,858 30,620,429 91,861,288 45,930,644

More profiles

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