3,010,002

2 × 3 × 101 × 4967

3,010,002 has digital root 6. The neighboring primes are 3010001 and 3010013; its proper-divisor sum differs from the starting integer by 60,828.

Prime Factor Structure

Factorization String 2 × 3 × 101 × 4967

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,080,832

Proper Divisor Sum 3,070,830

Digit Sum / Digital Root 6 (Root: 6)

Adjacent Primes #3010001 ← → #3010013

Radix Representation

Decimal	3010002
Binary	1011011110110111010010 (22 bits)
Octal	0o13366722
Hexadecimal	0x2DEDD2

Divisor Catalog (16)

1 2 3 6 101 202 303 606 4,967 9,934 14,901 29,802 501,667 1,003,334 1,505,001 3,010,002

Collatz Trajectory (138 steps to reach 1)

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

3,010,002 1,505,001 4,515,004 2,257,502 1,128,751 3,386,254 1,693,127 5,079,382 2,539,691 7,619,074 3,809,537 11,428,612 5,714,306 2,857,153 8,571,460 4,285,730 2,142,865 6,428,596 3,214,298 1,607,149 4,821,448 2,410,724 1,205,362 602,681 1,808,044 904,022 452,011 1,356,034 678,017 2,034,052 1,017,026 508,513 1,525,540 762,770 381,385 1,144,156 572,078 286,039 858,118 429,059 1,287,178 643,589 1,930,768 965,384 482,692 241,346 120,673 362,020 181,010 90,505 271,516 135,758 67,879 203,638 101,819 305,458 152,729 458,188 229,094 114,547

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