λ
Harmonic Matrix

4,374,493

61 × 71713
Deficient Odd Composite

4,374,493 has digital root 7. The neighboring primes are 4374463 and 4374499; its proper-divisor sum differs from the starting integer by -4,302,718.

Prime Factor Structure

Factorization String 61 × 71713
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 4,446,268
Proper Divisor Sum 71,775
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #4374463 ← → #4374499

Radix Representation

Decimal 4374493
Binary 10000101011111111011101 (23 bits)
Octal 0o20537735
Hexadecimal 0x42BFDD

Divisor Catalog (4)

1 61 71,713 4,374,493

Collatz Trajectory (211 steps to reach 1)

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

4,374,493 13,123,480 6,561,740 3,280,870 1,640,435 4,921,306 2,460,653 7,381,960 3,690,980 1,845,490 922,745 2,768,236 1,384,118 692,059 2,076,178 1,038,089 3,114,268 1,557,134 778,567 2,335,702 1,167,851 3,503,554 1,751,777 5,255,332 2,627,666 1,313,833 3,941,500 1,970,750 985,375 2,956,126 1,478,063 4,434,190 2,217,095 6,651,286 3,325,643 9,976,930 4,988,465 14,965,396 7,482,698 3,741,349 11,224,048 5,612,024 2,806,012 1,403,006 701,503 2,104,510 1,052,255 3,156,766 1,578,383 4,735,150 2,367,575 7,102,726 3,551,363 10,654,090 5,327,045 15,981,136 7,990,568 3,995,284 1,997,642 998,821

More profiles

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