4,010,967

3² × 311 × 1433

4,010,967 has digital root 9. The neighboring primes are 4010953 and 4010977; its proper-divisor sum differs from the starting integer by -2,205,630.

Prime Factor Structure

Factorization String 3^2 × 311 × 1433

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 5,816,304

Proper Divisor Sum 1,805,337

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #4010953 ← → #4010977

Radix Representation

Decimal	4010967
Binary	1111010011001111010111 (22 bits)
Octal	0o17231727
Hexadecimal	0x3D33D7

Divisor Catalog (12)

1 3 9 311 933 1,433 2,799 4,299 12,897 445,663 1,336,989 4,010,967

Collatz Trajectory (141 steps to reach 1)

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

4,010,967 12,032,902 6,016,451 18,049,354 9,024,677 27,074,032 13,537,016 6,768,508 3,384,254 1,692,127 5,076,382 2,538,191 7,614,574 3,807,287 11,421,862 5,710,931 17,132,794 8,566,397 25,699,192 12,849,596 6,424,798 3,212,399 9,637,198 4,818,599 14,455,798 7,227,899 21,683,698 10,841,849 32,525,548 16,262,774 8,131,387 24,394,162 12,197,081 36,591,244 18,295,622 9,147,811 27,443,434 13,721,717 41,165,152 20,582,576 10,291,288 5,145,644 2,572,822 1,286,411 3,859,234 1,929,617 5,788,852 2,894,426 1,447,213 4,341,640 2,170,820 1,085,410 542,705 1,628,116 814,058 407,029 1,221,088 610,544 305,272 152,636

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