λ
Harmonic Matrix

6,275,484

22 × 32 × 29 × 6011
Abundant Even Composite

6,275,484 has digital root 9. The neighboring primes are 6275483 and 6275509; its proper-divisor sum differs from the starting integer by 3,861,792.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 29 × 6011
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 16,412,760
Proper Divisor Sum 10,137,276
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #6275483 ← → #6275509

Radix Representation

Decimal 6275484
Binary 10111111100000110011100 (23 bits)
Octal 0o27740634
Hexadecimal 0x5FC19C

Divisor Catalog (36)

1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1,044 6,011 12,022 18,033 24,044 36,066 54,099 72,132 108,198 174,319 216,396 348,638 522,957 697,276 1,045,914 1,568,871 2,091,828 3,137,742 6,275,484

Collatz Trajectory (152 steps to reach 1)

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

6,275,484 3,137,742 1,568,871 4,706,614 2,353,307 7,059,922 3,529,961 10,589,884 5,294,942 2,647,471 7,942,414 3,971,207 11,913,622 5,956,811 17,870,434 8,935,217 26,805,652 13,402,826 6,701,413 20,104,240 10,052,120 5,026,060 2,513,030 1,256,515 3,769,546 1,884,773 5,654,320 2,827,160 1,413,580 706,790 353,395 1,060,186 530,093 1,590,280 795,140 397,570 198,785 596,356 298,178 149,089 447,268 223,634 111,817 335,452 167,726 83,863 251,590 125,795 377,386 188,693 566,080 283,040 141,520 70,760 35,380 17,690 8,845 26,536 13,268 6,634

More profiles

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