λ
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Atlas › Integer Profiles › Node 1,121,024

1,121,024

28 × 29 × 151
Abundant Even Composite

1,121,024 factors as 2^8 × 29 × 151. Its 36 positive divisors give a proper-divisor sum of 1,209,136, so this integer is abundant. The Collatz stopping time is 222 steps.

Prime Factor Structure

Factorization String 2^8 × 29 × 151
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 2,330,160
Proper Divisor Sum 1,209,136
Digit Sum / Digital Root 11 (Root: 2)
Adjacent Primes #1121023 ← → #1121027

Radix Representation

Decimal 1121024
Binary 100010001101100000000 (21 bits)
Octal 0o4215400
Hexadecimal 0x111B00

Divisor Catalog (36)

1 2 4 8 16 29 32 58 64 116 128 151 232 256 302 464 604 928 1,208 1,856 2,416 3,712 4,379 4,832 7,424 8,758 9,664 17,516 19,328 35,032 38,656 70,064 140,128 280,256 560,512 1,121,024

Collatz Trajectory (222 steps to reach 1)

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

1,121,024 560,512 280,256 140,128 70,064 35,032 17,516 8,758 4,379 13,138 6,569 19,708 9,854 4,927 14,782 7,391 22,174 11,087 33,262 16,631 49,894 24,947 74,842 37,421 112,264 56,132 28,066 14,033 42,100 21,050 10,525 31,576 15,788 7,894 3,947 11,842 5,921 17,764 8,882 4,441 13,324 6,662 3,331 9,994 4,997 14,992 7,496 3,748 1,874 937 2,812 1,406 703 2,110 1,055 3,166 1,583 4,750 2,375 7,126

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