λ
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Atlas › Integer Profiles › Node 1,350,752

1,350,752

25 × 13 × 17 × 191
Abundant Even Composite

1,350,752 factors as 2^5 × 13 × 17 × 191. Its 48 positive divisors give a proper-divisor sum of 1,697,440, so this integer is abundant. The Collatz stopping time is 62 steps.

Prime Factor Structure

Factorization String 2^5 × 13 × 17 × 191
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 3,048,192
Proper Divisor Sum 1,697,440
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #1350751 ← → #1350761

Radix Representation

Decimal 1350752
Binary 101001001110001100000 (21 bits)
Octal 0o5116140
Hexadecimal 0x149C60

Divisor Catalog (48)

1 2 4 8 13 16 17 26 32 34 52 68 104 136 191 208 221 272 382 416 442 544 764 884 1,528 1,768 2,483 3,056 3,247 3,536 4,966 6,112 6,494 7,072 9,932 12,988 19,864 25,976 39,728 42,211 51,952 79,456 84,422 103,904 168,844 337,688 675,376 1,350,752

Collatz Trajectory (62 steps to reach 1)

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

1,350,752 675,376 337,688 168,844 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 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8

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