λ
Harmonic Matrix

7,041,824

25 × 220057
Deficient Even Composite

7,041,824 has digital root 8. The neighboring primes are 7041817 and 7041829; its proper-divisor sum differs from the starting integer by -219,994.

Prime Factor Structure

Factorization String 2^5 × 220057
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 13,863,654
Proper Divisor Sum 6,821,830
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #7041817 ← → #7041829

Radix Representation

Decimal 7041824
Binary 11010110111001100100000 (23 bits)
Octal 0o32671440
Hexadecimal 0x6B7320

Divisor Catalog (12)

1 2 4 8 16 32 220,057 440,114 880,228 1,760,456 3,520,912 7,041,824

Collatz Trajectory (129 steps to reach 1)

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

7,041,824 3,520,912 1,760,456 880,228 440,114 220,057 660,172 330,086 165,043 495,130 247,565 742,696 371,348 185,674 92,837 278,512 139,256 69,628 34,814 17,407 52,222 26,111 78,334 39,167 117,502 58,751 176,254 88,127 264,382 132,191 396,574 198,287 594,862 297,431 892,294 446,147 1,338,442 669,221 2,007,664 1,003,832 501,916 250,958 125,479 376,438 188,219 564,658 282,329 846,988 423,494 211,747 635,242 317,621 952,864 476,432 238,216 119,108 59,554 29,777 89,332 44,666

More profiles

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