λ
Harmonic Matrix

7,192,743

3 × 2397581
Deficient Odd Composite

7,192,743 has digital root 6. The neighboring primes are 7192741 and 7192771; its proper-divisor sum differs from the starting integer by -4,795,158.

Prime Factor Structure

Factorization String 3 × 2397581
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 9,590,328
Proper Divisor Sum 2,397,585
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #7192741 ← → #7192771

Radix Representation

Decimal 7192743
Binary 11011011100000010100111 (23 bits)
Octal 0o33340247
Hexadecimal 0x6DC0A7

Divisor Catalog (4)

1 3 2,397,581 7,192,743

Collatz Trajectory (227 steps to reach 1)

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

7,192,743 21,578,230 10,789,115 32,367,346 16,183,673 48,551,020 24,275,510 12,137,755 36,413,266 18,206,633 54,619,900 27,309,950 13,654,975 40,964,926 20,482,463 61,447,390 30,723,695 92,171,086 46,085,543 138,256,630 69,128,315 207,384,946 103,692,473 311,077,420 155,538,710 77,769,355 233,308,066 116,654,033 349,962,100 174,981,050 87,490,525 262,471,576 131,235,788 65,617,894 32,808,947 98,426,842 49,213,421 147,640,264 73,820,132 36,910,066 18,455,033 55,365,100 27,682,550 13,841,275 41,523,826 20,761,913 62,285,740 31,142,870 15,571,435 46,714,306 23,357,153 70,071,460 35,035,730 17,517,865 52,553,596 26,276,798 13,138,399 39,415,198 19,707,599 59,122,798

More profiles

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