λ
Harmonic Matrix

1,530,265

5 × 11 × 27823
Deficient Odd Composite

1,530,265 has digital root 4. The neighboring primes are 1530233 and 1530281; its proper-divisor sum differs from the starting integer by -1,057,202.

Prime Factor Structure

Factorization String 5 × 11 × 27823
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,003,328
Proper Divisor Sum 473,063
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #1530233 ← → #1530281

Radix Representation

Decimal 1530265
Binary 101110101100110011001 (21 bits)
Octal 0o5654631
Hexadecimal 0x175999

Divisor Catalog (8)

1 5 11 55 27,823 139,115 306,053 1,530,265

Collatz Trajectory (287 steps to reach 1)

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

1,530,265 4,590,796 2,295,398 1,147,699 3,443,098 1,721,549 5,164,648 2,582,324 1,291,162 645,581 1,936,744 968,372 484,186 242,093 726,280 363,140 181,570 90,785 272,356 136,178 68,089 204,268 102,134 51,067 153,202 76,601 229,804 114,902 57,451 172,354 86,177 258,532 129,266 64,633 193,900 96,950 48,475 145,426 72,713 218,140 109,070 54,535 163,606 81,803 245,410 122,705 368,116 184,058 92,029 276,088 138,044 69,022 34,511 103,534 51,767 155,302 77,651 232,954 116,477 349,432

More profiles

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