7,741,942

2 × 13 × 73 × 4079

7,741,942 has digital root 7. The neighboring primes are 7741933 and 7741963; its proper-divisor sum differs from the starting integer by -2,803,244.

Prime Factor Structure

Factorization String 2 × 13 × 73 × 4079

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 12,680,640

Proper Divisor Sum 4,938,698

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #7741933 ← → #7741963

Radix Representation

Decimal	7741942
Binary	11101100010000111110110 (23 bits)
Octal	0o35420766
Hexadecimal	0x7621F6

Divisor Catalog (16)

1 2 13 26 73 146 949 1,898 4,079 8,158 53,027 106,054 297,767 595,534 3,870,971 7,741,942

Collatz Trajectory (186 steps to reach 1)

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

7,741,942 3,870,971 11,612,914 5,806,457 17,419,372 8,709,686 4,354,843 13,064,530 6,532,265 19,596,796 9,798,398 4,899,199 14,697,598 7,348,799 22,046,398 11,023,199 33,069,598 16,534,799 49,604,398 24,802,199 74,406,598 37,203,299 111,609,898 55,804,949 167,414,848 83,707,424 41,853,712 20,926,856 10,463,428 5,231,714 2,615,857 7,847,572 3,923,786 1,961,893 5,885,680 2,942,840 1,471,420 735,710 367,855 1,103,566 551,783 1,655,350 827,675 2,483,026 1,241,513 3,724,540 1,862,270 931,135 2,793,406 1,396,703 4,190,110 2,095,055 6,285,166 3,142,583 9,427,750 4,713,875 14,141,626 7,070,813 21,212,440 10,606,220

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