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Atlas › Integer Profiles › Node 7,054,528

7,054,528

26 × 13 × 61 × 139
Abundant Even Composite

7,054,528 factors as 2^6 × 13 × 61 × 139. Its 56 positive divisors give a proper-divisor sum of 8,378,512, so this integer is abundant. The Collatz stopping time is 191 steps.

Prime Factor Structure

Factorization String 2^6 × 13 × 61 × 139
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 15,433,040
Proper Divisor Sum 8,378,512
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #7054513 ← → #7054543

Radix Representation

Decimal 7054528
Binary 11010111010010011000000 (23 bits)
Octal 0o32722300
Hexadecimal 0x6BA4C0

Divisor Catalog (56)

1 2 4 8 13 16 26 32 52 61 64 104 122 139 208 244 278 416 488 556 793 832 976 1,112 1,586 1,807 1,952 2,224 3,172 3,614 3,904 4,448 6,344 7,228 8,479 8,896 12,688 14,456 16,958 25,376 28,912 33,916 50,752 57,824 67,832 110,227 115,648 135,664 220,454 271,328 440,908 542,656 881,816 1,763,632 3,527,264 7,054,528

Collatz Trajectory (191 steps to reach 1)

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

7,054,528 3,527,264 1,763,632 881,816 440,908 220,454 110,227 330,682 165,341 496,024 248,012 124,006 62,003 186,010 93,005 279,016 139,508 69,754 34,877 104,632 52,316 26,158 13,079 39,238 19,619 58,858 29,429 88,288 44,144 22,072 11,036 5,518 2,759 8,278 4,139 12,418 6,209 18,628 9,314 4,657 13,972 6,986 3,493 10,480 5,240 2,620 1,310 655 1,966 983 2,950 1,475 4,426 2,213 6,640 3,320 1,660 830 415 1,246

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