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Atlas › Integer Profiles › Node 2,234,752

2,234,752

27 × 13 × 17 × 79
Abundant Even Composite

2,234,752 factors as 2^7 × 13 × 17 × 79. Its 64 positive divisors give a proper-divisor sum of 2,906,048, so this integer is abundant. The Collatz stopping time is 148 steps.

Prime Factor Structure

Factorization String 2^7 × 13 × 17 × 79
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 5,140,800
Proper Divisor Sum 2,906,048
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #2234741 ← → #2234789

Radix Representation

Decimal 2234752
Binary 1000100001100110000000 (22 bits)
Octal 0o10414600
Hexadecimal 0x221980

Divisor Catalog (60 of 64)

1 2 4 8 13 16 17 26 32 34 52 64 68 79 104 128 136 158 208 221 272 316 416 442 544 632 832 884 1,027 1,088 1,264 1,343 1,664 1,768 2,054 2,176 2,528 2,686 3,536 4,108 5,056 5,372 7,072 8,216 10,112 10,744 14,144 16,432 17,459 21,488 28,288 32,864 34,918 42,976 65,728 69,836 85,952 131,456 139,672 171,904

Collatz Trajectory (148 steps to reach 1)

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

2,234,752 1,117,376 558,688 279,344 139,672 69,836 34,918 17,459 52,378 26,189 78,568 39,284 19,642 9,821 29,464 14,732 7,366 3,683 11,050 5,525 16,576 8,288 4,144 2,072 1,036 518 259 778 389 1,168 584 292 146 73 220 110 55 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412

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