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Atlas › Integer Profiles › Node 2,248,608

2,248,608

25 × 3 × 59 × 397
Abundant Even Composite

2,248,608 factors as 2^5 × 3 × 59 × 397. Its 48 positive divisors give a proper-divisor sum of 3,769,152, so this integer is abundant. The Collatz stopping time is 86 steps.

Prime Factor Structure

Factorization String 2^5 × 3 × 59 × 397
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 6,017,760
Proper Divisor Sum 3,769,152
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2248591 ← → #2248633

Radix Representation

Decimal 2248608
Binary 1000100100111110100000 (22 bits)
Octal 0o10447640
Hexadecimal 0x224FA0

Divisor Catalog (48)

1 2 3 4 6 8 12 16 24 32 48 59 96 118 177 236 354 397 472 708 794 944 1,191 1,416 1,588 1,888 2,382 2,832 3,176 4,764 5,664 6,352 9,528 12,704 19,056 23,423 38,112 46,846 70,269 93,692 140,538 187,384 281,076 374,768 562,152 749,536 1,124,304 2,248,608

Collatz Trajectory (86 steps to reach 1)

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

2,248,608 1,124,304 562,152 281,076 140,538 70,269 210,808 105,404 52,702 26,351 79,054 39,527 118,582 59,291 177,874 88,937 266,812 133,406 66,703 200,110 100,055 300,166 150,083 450,250 225,125 675,376 337,688 168,844 84,422 42,211 126,634 63,317 189,952 94,976 47,488 23,744 11,872 5,936 2,968 1,484 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178 89 268 134 67

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