7,457,988

2² × 3 × 29² × 739

7,457,988 factors as 2^2 × 3 × 29^2 × 739. Its 36 positive divisors give a proper-divisor sum of 10,589,132, so this integer is abundant. The Collatz stopping time is 111 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 29^2 × 739

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 18,047,120

Proper Divisor Sum 10,589,132

Digit Sum / Digital Root 48 (Root: 3)

Adjacent Primes #7457987 ← → #7457993

Radix Representation

Decimal	7457988
Binary	11100011100110011000100 (23 bits)
Octal	0o34346304
Hexadecimal	0x71CCC4

Divisor Catalog (36)

1 2 3 4 6 12 29 58 87 116 174 348 739 841 1,478 1,682 2,217 2,523 2,956 3,364 4,434 5,046 8,868 10,092 21,431 42,862 64,293 85,724 128,586 257,172 621,499 1,242,998 1,864,497 2,485,996 3,728,994 7,457,988

Collatz Trajectory (111 steps to reach 1)

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

7,457,988 3,728,994 1,864,497 5,593,492 2,796,746 1,398,373 4,195,120 2,097,560 1,048,780 524,390 262,195 786,586 393,293 1,179,880 589,940 294,970 147,485 442,456 221,228 110,614 55,307 165,922 82,961 248,884 124,442 62,221 186,664 93,332 46,666 23,333 70,000 35,000 17,500 8,750 4,375 13,126 6,563 19,690 9,845 29,536 14,768 7,384 3,692 1,846 923 2,770 1,385 4,156 2,078 1,039 3,118 1,559 4,678 2,339 7,018 3,509 10,528 5,264 2,632 1,316

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