λ
Harmonic Matrix

652,315

5 × 283 × 461
Deficient Odd Composite

652,315 has digital root 4. The neighboring primes are 652291 and 652319; its proper-divisor sum differs from the starting integer by -517,382.

Prime Factor Structure

Factorization String 5 × 283 × 461
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 787,248
Proper Divisor Sum 134,933
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #652291 ← → #652319

Radix Representation

Decimal 652315
Binary 10011111010000011011 (20 bits)
Octal 0o2372033
Hexadecimal 0x9F41B

Divisor Catalog (8)

1 5 283 461 1,415 2,305 130,463 652,315

Collatz Trajectory (203 steps to reach 1)

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

652,315 1,956,946 978,473 2,935,420 1,467,710 733,855 2,201,566 1,100,783 3,302,350 1,651,175 4,953,526 2,476,763 7,430,290 3,715,145 11,145,436 5,572,718 2,786,359 8,359,078 4,179,539 12,538,618 6,269,309 18,807,928 9,403,964 4,701,982 2,350,991 7,052,974 3,526,487 10,579,462 5,289,731 15,869,194 7,934,597 23,803,792 11,901,896 5,950,948 2,975,474 1,487,737 4,463,212 2,231,606 1,115,803 3,347,410 1,673,705 5,021,116 2,510,558 1,255,279 3,765,838 1,882,919 5,648,758 2,824,379 8,473,138 4,236,569 12,709,708 6,354,854 3,177,427 9,532,282 4,766,141 14,298,424 7,149,212 3,574,606 1,787,303 5,361,910

More profiles

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