λ
Harmonic Matrix

2,418,848

25 × 269 × 281
Deficient Even Composite

2,418,848 has digital root 8. The neighboring primes are 2418839 and 2418851; its proper-divisor sum differs from the starting integer by -40,876.

Prime Factor Structure

Factorization String 2^5 × 269 × 281
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 4,796,820
Proper Divisor Sum 2,377,972
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #2418839 ← → #2418851

Radix Representation

Decimal 2418848
Binary 1001001110100010100000 (22 bits)
Octal 0o11164240
Hexadecimal 0x24E8A0

Divisor Catalog (24)

1 2 4 8 16 32 269 281 538 562 1,076 1,124 2,152 2,248 4,304 4,496 8,608 8,992 75,589 151,178 302,356 604,712 1,209,424 2,418,848

Collatz Trajectory (68 steps to reach 1)

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

2,418,848 1,209,424 604,712 302,356 151,178 75,589 226,768 113,384 56,692 28,346 14,173 42,520 21,260 10,630 5,315 15,946 7,973 23,920 11,960 5,980 2,990 1,495 4,486 2,243 6,730 3,365 10,096 5,048 2,524 1,262 631 1,894 947 2,842 1,421 4,264 2,132 1,066 533 1,600 800 400 200 100 50 25 76 38 19 58 29 88 44 22 11 34 17 52 26 13

More profiles

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