λ
Harmonic Matrix

8,074,772

22 × 19 × 181 × 587
Deficient Even Composite

8,074,772 has digital root 8. The neighboring primes are 8074747 and 8074777; its proper-divisor sum differs from the starting integer by -1,167,304.

Prime Factor Structure

Factorization String 2^2 × 19 × 181 × 587
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 14,982,240
Proper Divisor Sum 6,907,468
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #8074747 ← → #8074777

Radix Representation

Decimal 8074772
Binary 11110110011011000010100 (23 bits)
Octal 0o36633024
Hexadecimal 0x7B3614

Divisor Catalog (24)

1 2 4 19 38 76 181 362 587 724 1,174 2,348 3,439 6,878 11,153 13,756 22,306 44,612 106,247 212,494 424,988 2,018,693 4,037,386 8,074,772

Collatz Trajectory (261 steps to reach 1)

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

8,074,772 4,037,386 2,018,693 6,056,080 3,028,040 1,514,020 757,010 378,505 1,135,516 567,758 283,879 851,638 425,819 1,277,458 638,729 1,916,188 958,094 479,047 1,437,142 718,571 2,155,714 1,077,857 3,233,572 1,616,786 808,393 2,425,180 1,212,590 606,295 1,818,886 909,443 2,728,330 1,364,165 4,092,496 2,046,248 1,023,124 511,562 255,781 767,344 383,672 191,836 95,918 47,959 143,878 71,939 215,818 107,909 323,728 161,864 80,932 40,466 20,233 60,700 30,350 15,175 45,526 22,763 68,290 34,145 102,436 51,218

More profiles

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