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Atlas › Integer Profiles › Node 46,736,368

46,736,368

24 × 7 × 23 × 18143
Abundant Even Composite

46,736,368 factors as 2^4 × 7 × 23 × 18143. Its 40 positive divisors give a proper-divisor sum of 61,256,720, so this integer is abundant. The Collatz stopping time is 93 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 23 × 18143
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 107,993,088
Proper Divisor Sum 61,256,720
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #46736359 ← → #46736401

Radix Representation

Decimal 46736368
Binary 10110010010010001111110000 (26 bits)
Octal 0o262221760
Hexadecimal 0x2C923F0

Divisor Catalog (40)

1 2 4 7 8 14 16 23 28 46 56 92 112 161 184 322 368 644 1,288 2,576 18,143 36,286 72,572 127,001 145,144 254,002 290,288 417,289 508,004 834,578 1,016,008 1,669,156 2,032,016 2,921,023 3,338,312 5,842,046 6,676,624 11,684,092 23,368,184 46,736,368

Collatz Trajectory (93 steps to reach 1)

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

46,736,368 23,368,184 11,684,092 5,842,046 2,921,023 8,763,070 4,381,535 13,144,606 6,572,303 19,716,910 9,858,455 29,575,366 14,787,683 44,363,050 22,181,525 66,544,576 33,272,288 16,636,144 8,318,072 4,159,036 2,079,518 1,039,759 3,119,278 1,559,639 4,678,918 2,339,459 7,018,378 3,509,189 10,527,568 5,263,784 2,631,892 1,315,946 657,973 1,973,920 986,960 493,480 246,740 123,370 61,685 185,056 92,528 46,264 23,132 11,566 5,783 17,350 8,675 26,026 13,013 39,040 19,520 9,760 4,880 2,440 1,220 610 305 916 458 229

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