λ
Harmonic Matrix

7,042,976

25 × 97 × 2269
Deficient Even Composite

7,042,976 has digital root 8. The neighboring primes are 7042961 and 7042993; its proper-divisor sum differs from the starting integer by -70,972.

Prime Factor Structure

Factorization String 2^5 × 97 × 2269
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 14,014,980
Proper Divisor Sum 6,972,004
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #7042961 ← → #7042993

Radix Representation

Decimal 7042976
Binary 11010110111011110100000 (23 bits)
Octal 0o32673640
Hexadecimal 0x6B77A0

Divisor Catalog (24)

1 2 4 8 16 32 97 194 388 776 1,552 2,269 3,104 4,538 9,076 18,152 36,304 72,608 220,093 440,186 880,372 1,760,744 3,521,488 7,042,976

Collatz Trajectory (191 steps to reach 1)

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

7,042,976 3,521,488 1,760,744 880,372 440,186 220,093 660,280 330,140 165,070 82,535 247,606 123,803 371,410 185,705 557,116 278,558 139,279 417,838 208,919 626,758 313,379 940,138 470,069 1,410,208 705,104 352,552 176,276 88,138 44,069 132,208 66,104 33,052 16,526 8,263 24,790 12,395 37,186 18,593 55,780 27,890 13,945 41,836 20,918 10,459 31,378 15,689 47,068 23,534 11,767 35,302 17,651 52,954 26,477 79,432 39,716 19,858 9,929 29,788 14,894 7,447

More profiles

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