7,424,013

3 × 37 × 66883

7,424,013 has digital root 3. The neighboring primes are 7423991 and 7424017; its proper-divisor sum differs from the starting integer by -4,681,658.

Prime Factor Structure

Factorization String 3 × 37 × 66883

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 10,166,368

Proper Divisor Sum 2,742,355

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #7423991 ← → #7424017

Radix Representation

Decimal	7424013
Binary	11100010100100000001101 (23 bits)
Octal	0o34244015
Hexadecimal	0x71480D

Divisor Catalog (8)

1 3 37 111 66,883 200,649 2,474,671 7,424,013

Collatz Trajectory (173 steps to reach 1)

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

7,424,013 22,272,040 11,136,020 5,568,010 2,784,005 8,352,016 4,176,008 2,088,004 1,044,002 522,001 1,566,004 783,002 391,501 1,174,504 587,252 293,626 146,813 440,440 220,220 110,110 55,055 165,166 82,583 247,750 123,875 371,626 185,813 557,440 278,720 139,360 69,680 34,840 17,420 8,710 4,355 13,066 6,533 19,600 9,800 4,900 2,450 1,225 3,676 1,838 919 2,758 1,379 4,138 2,069 6,208 3,104 1,552 776 388 194 97 292 146 73 220

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