λ
Harmonic Matrix

2,424,824

23 × 47 × 6449
Deficient Even Composite

2,424,824 has digital root 8. The neighboring primes are 2424823 and 2424827; its proper-divisor sum differs from the starting integer by -205,648.

Prime Factor Structure

Factorization String 2^3 × 47 × 6449
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,644,000
Proper Divisor Sum 2,219,176
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #2424823 ← → #2424827

Radix Representation

Decimal 2424824
Binary 1001001111111111111000 (22 bits)
Octal 0o11177770
Hexadecimal 0x24FFF8

Divisor Catalog (16)

1 2 4 8 47 94 188 376 6,449 12,898 25,796 51,592 303,103 606,206 1,212,412 2,424,824

Collatz Trajectory (329 steps to reach 1)

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

2,424,824 1,212,412 606,206 303,103 909,310 454,655 1,363,966 681,983 2,045,950 1,022,975 3,068,926 1,534,463 4,603,390 2,301,695 6,905,086 3,452,543 10,357,630 5,178,815 15,536,446 7,768,223 23,304,670 11,652,335 34,957,006 17,478,503 52,435,510 26,217,755 78,653,266 39,326,633 117,979,900 58,989,950 29,494,975 88,484,926 44,242,463 132,727,390 66,363,695 199,091,086 99,545,543 298,636,630 149,318,315 447,954,946 223,977,473 671,932,420 335,966,210 167,983,105 503,949,316 251,974,658 125,987,329 377,961,988 188,980,994 94,490,497 283,471,492 141,735,746 70,867,873 212,603,620 106,301,810 53,150,905 159,452,716 79,726,358 39,863,179 119,589,538

More profiles

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