λ
Harmonic Matrix

6,355,040

25 × 5 × 39719
Abundant Even Composite

6,355,040 has digital root 5. The neighboring primes are 6355039 and 6355049; its proper-divisor sum differs from the starting integer by 2,304,080.

Prime Factor Structure

Factorization String 2^5 × 5 × 39719
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 15,014,160
Proper Divisor Sum 8,659,120
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #6355039 ← → #6355049

Radix Representation

Decimal 6355040
Binary 11000001111100001100000 (23 bits)
Octal 0o30174140
Hexadecimal 0x60F860

Divisor Catalog (24)

1 2 4 5 8 10 16 20 32 40 80 160 39,719 79,438 158,876 198,595 317,752 397,190 635,504 794,380 1,271,008 1,588,760 3,177,520 6,355,040

Collatz Trajectory (196 steps to reach 1)

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

6,355,040 3,177,520 1,588,760 794,380 397,190 198,595 595,786 297,893 893,680 446,840 223,420 111,710 55,855 167,566 83,783 251,350 125,675 377,026 188,513 565,540 282,770 141,385 424,156 212,078 106,039 318,118 159,059 477,178 238,589 715,768 357,884 178,942 89,471 268,414 134,207 402,622 201,311 603,934 301,967 905,902 452,951 1,358,854 679,427 2,038,282 1,019,141 3,057,424 1,528,712 764,356 382,178 191,089 573,268 286,634 143,317 429,952 214,976 107,488 53,744 26,872 13,436 6,718

More profiles

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