λ
Harmonic Matrix

8,557,993

8557993
Deficient Odd Prime

8,557,993 has digital root 1. The neighboring primes are 8557981 and 8558003; its proper-divisor sum differs from the starting integer by -8,557,992.

Prime Factor Structure

Factorization String 8557993
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 8,557,994
Proper Divisor Sum 1
Digit Sum / Digital Root 46 (Root: 1)
Adjacent Primes #8557981 ← → #8558003

Radix Representation

Decimal 8557993
Binary 100000101001010110101001 (24 bits)
Octal 0o40512651
Hexadecimal 0x8295A9

Divisor Catalog (2)

Collatz Trajectory (150 steps to reach 1)

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

8,557,993 25,673,980 12,836,990 6,418,495 19,255,486 9,627,743 28,883,230 14,441,615 43,324,846 21,662,423 64,987,270 32,493,635 97,480,906 48,740,453 146,221,360 73,110,680 36,555,340 18,277,670 9,138,835 27,416,506 13,708,253 41,124,760 20,562,380 10,281,190 5,140,595 15,421,786 7,710,893 23,132,680 11,566,340 5,783,170 2,891,585 8,674,756 4,337,378 2,168,689 6,506,068 3,253,034 1,626,517 4,879,552 2,439,776 1,219,888 609,944 304,972 152,486 76,243 228,730 114,365 343,096 171,548 85,774 42,887 128,662 64,331 192,994 96,497 289,492 144,746 72,373 217,120 108,560 54,280

More profiles

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