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Atlas › Integer Profiles › Node 7,467,150

7,467,150

2 × 3 × 52 × 67 × 743
Abundant Even Composite

7,467,150 factors as 2 × 3 × 5^2 × 67 × 743. Its 48 positive divisors give a proper-divisor sum of 11,353,074, so this integer is abundant. The Collatz stopping time is 134 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5^2 × 67 × 743
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 18,820,224
Proper Divisor Sum 11,353,074
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #7467143 ← → #7467151

Radix Representation

Decimal 7467150
Binary 11100011111000010001110 (23 bits)
Octal 0o34370216
Hexadecimal 0x71F08E

Divisor Catalog (48)

1 2 3 5 6 10 15 25 30 50 67 75 134 150 201 335 402 670 743 1,005 1,486 1,675 2,010 2,229 3,350 3,715 4,458 5,025 7,430 10,050 11,145 18,575 22,290 37,150 49,781 55,725 99,562 111,450 149,343 248,905 298,686 497,810 746,715 1,244,525 1,493,430 2,489,050 3,733,575 7,467,150

Collatz Trajectory (134 steps to reach 1)

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

7,467,150 3,733,575 11,200,726 5,600,363 16,801,090 8,400,545 25,201,636 12,600,818 6,300,409 18,901,228 9,450,614 4,725,307 14,175,922 7,087,961 21,263,884 10,631,942 5,315,971 15,947,914 7,973,957 23,921,872 11,960,936 5,980,468 2,990,234 1,495,117 4,485,352 2,242,676 1,121,338 560,669 1,682,008 841,004 420,502 210,251 630,754 315,377 946,132 473,066 236,533 709,600 354,800 177,400 88,700 44,350 22,175 66,526 33,263 99,790 49,895 149,686 74,843 224,530 112,265 336,796 168,398 84,199 252,598 126,299 378,898 189,449 568,348 284,174

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