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Atlas › Integer Profiles › Node 7,144,004

7,144,004

22 × 73 × 41 × 127
Abundant Even Composite

7,144,004 factors as 2^2 × 7^3 × 41 × 127. Its 48 positive divisors give a proper-divisor sum of 7,908,796, so this integer is abundant. The Collatz stopping time is 173 steps.

Prime Factor Structure

Factorization String 2^2 × 7^3 × 41 × 127
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 15,052,800
Proper Divisor Sum 7,908,796
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #7144001 ← → #7144021

Radix Representation

Decimal 7144004
Binary 11011010000001001000100 (23 bits)
Octal 0o33201104
Hexadecimal 0x6D0244

Divisor Catalog (48)

1 2 4 7 14 28 41 49 82 98 127 164 196 254 287 343 508 574 686 889 1,148 1,372 1,778 2,009 3,556 4,018 5,207 6,223 8,036 10,414 12,446 14,063 20,828 24,892 28,126 36,449 43,561 56,252 72,898 87,122 145,796 174,244 255,143 510,286 1,020,572 1,786,001 3,572,002 7,144,004

Collatz Trajectory (173 steps to reach 1)

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

7,144,004 3,572,002 1,786,001 5,358,004 2,679,002 1,339,501 4,018,504 2,009,252 1,004,626 502,313 1,506,940 753,470 376,735 1,130,206 565,103 1,695,310 847,655 2,542,966 1,271,483 3,814,450 1,907,225 5,721,676 2,860,838 1,430,419 4,291,258 2,145,629 6,436,888 3,218,444 1,609,222 804,611 2,413,834 1,206,917 3,620,752 1,810,376 905,188 452,594 226,297 678,892 339,446 169,723 509,170 254,585 763,756 381,878 190,939 572,818 286,409 859,228 429,614 214,807 644,422 322,211 966,634 483,317 1,449,952 724,976 362,488 181,244 90,622 45,311

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