7,012,200

2³ × 3 × 5² × 13 × 29 × 31

7,012,200 has digital root 3. The neighboring primes are 7012199 and 7012223; its proper-divisor sum differs from the starting integer by 10,974,000.

Prime Factor Structure

Factorization String 2^3 × 3 × 5^2 × 13 × 29 × 31

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 192

Divisor Sum (σ) 24,998,400

Proper Divisor Sum 17,986,200

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #7012199 ← → #7012223

Radix Representation

Decimal	7012200
Binary	11010101111111101101000 (23 bits)
Octal	0o32577550
Hexadecimal	0x6AFF68

Divisor Catalog (60 of 192)

1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 29 30 31 39 40 50 52 58 60 62 65 75 78 87 93 100 104 116 120 124 130 145 150 155 156 174 186 195 200 232 248 260 290 300 310 312 325 348 372 377 390 403 435 465 520

Collatz Trajectory (222 steps to reach 1)

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

7,012,200 3,506,100 1,753,050 876,525 2,629,576 1,314,788 657,394 328,697 986,092 493,046 246,523 739,570 369,785 1,109,356 554,678 277,339 832,018 416,009 1,248,028 624,014 312,007 936,022 468,011 1,404,034 702,017 2,106,052 1,053,026 526,513 1,579,540 789,770 394,885 1,184,656 592,328 296,164 148,082 74,041 222,124 111,062 55,531 166,594 83,297 249,892 124,946 62,473 187,420 93,710 46,855 140,566 70,283 210,850 105,425 316,276 158,138 79,069 237,208 118,604 59,302 29,651 88,954 44,477

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