λ
Harmonic Matrix

1,585,499

1585499
Deficient Odd Prime

1,585,499 has digital root 5. The neighboring primes are 1585489 and 1585513; its proper-divisor sum differs from the starting integer by -1,585,498.

Prime Factor Structure

Factorization String 1585499
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 1,585,500
Proper Divisor Sum 1
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #1585489 ← → #1585513

Radix Representation

Decimal 1585499
Binary 110000011000101011011 (21 bits)
Octal 0o6030533
Hexadecimal 0x18315B

Divisor Catalog (2)

Collatz Trajectory (176 steps to reach 1)

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

1,585,499 4,756,498 2,378,249 7,134,748 3,567,374 1,783,687 5,351,062 2,675,531 8,026,594 4,013,297 12,039,892 6,019,946 3,009,973 9,029,920 4,514,960 2,257,480 1,128,740 564,370 282,185 846,556 423,278 211,639 634,918 317,459 952,378 476,189 1,428,568 714,284 357,142 178,571 535,714 267,857 803,572 401,786 200,893 602,680 301,340 150,670 75,335 226,006 113,003 339,010 169,505 508,516 254,258 127,129 381,388 190,694 95,347 286,042 143,021 429,064 214,532 107,266 53,633 160,900 80,450 40,225 120,676 60,338

More profiles

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