λ
Harmonic Matrix

1,528,613

1528613
Deficient Odd Prime

1,528,613 has digital root 8. The neighboring primes are 1528609 and 1528621; its proper-divisor sum differs from the starting integer by -1,528,612.

Prime Factor Structure

Factorization String 1528613
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 1,528,614
Proper Divisor Sum 1
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #1528609 ← → #1528621

Radix Representation

Decimal 1528613
Binary 101110101001100100101 (21 bits)
Octal 0o5651445
Hexadecimal 0x175325

Divisor Catalog (2)

Collatz Trajectory (101 steps to reach 1)

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

1,528,613 4,585,840 2,292,920 1,146,460 573,230 286,615 859,846 429,923 1,289,770 644,885 1,934,656 967,328 483,664 241,832 120,916 60,458 30,229 90,688 45,344 22,672 11,336 5,668 2,834 1,417 4,252 2,126 1,063 3,190 1,595 4,786 2,393 7,180 3,590 1,795 5,386 2,693 8,080 4,040 2,020 1,010 505 1,516 758 379 1,138 569 1,708 854 427 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271

More profiles

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