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Atlas › Integer Profiles › Node 5,546,496

5,546,496

29 × 3 × 23 × 157
Abundant Even Composite

5,546,496 factors as 2^9 × 3 × 23 × 157. Its 80 positive divisors give a proper-divisor sum of 9,970,368, so this integer is abundant. The Collatz stopping time is 77 steps.

Prime Factor Structure

Factorization String 2^9 × 3 × 23 × 157
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 15,516,864
Proper Divisor Sum 9,970,368
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #5546491 ← → #5546509

Radix Representation

Decimal 5546496
Binary 10101001010001000000000 (23 bits)
Octal 0o25121000
Hexadecimal 0x54A200

Divisor Catalog (60 of 80)

1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 157 184 192 256 276 314 368 384 471 512 552 628 736 768 942 1,104 1,256 1,472 1,536 1,884 2,208 2,512 2,944 3,611 3,768 4,416 5,024 5,888 7,222 7,536 8,832 10,048 10,833 11,776 14,444 15,072 17,664 20,096 21,666 28,888 30,144

Collatz Trajectory (77 steps to reach 1)

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

5,546,496 2,773,248 1,386,624 693,312 346,656 173,328 86,664 43,332 21,666 10,833 32,500 16,250 8,125 24,376 12,188 6,094 3,047 9,142 4,571 13,714 6,857 20,572 10,286 5,143 15,430 7,715 23,146 11,573 34,720 17,360 8,680 4,340 2,170 1,085 3,256 1,628 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28

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