λ
Prime Ledger

1,087,436

22 × 7 × 71 × 547
Abundant Even Composite

1,087,436 has the prime decomposition 2^2 × 7 × 71 × 547. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 7 × 71 × 547
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 2,209,536
Proper Divisor Sum 1,122,100
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #1087433 ← → #1087451

Radix Representation

Decimal 1087436
Binary 100001001011111001100 (21 bits)
Octal 0o4113714
Hexadecimal 0x1097CC

Divisor Catalog (24)

1 2 4 7 14 28 71 142 284 497 547 994 1,094 1,988 2,188 3,829 7,658 15,316 38,837 77,674 155,348 271,859 543,718 1,087,436

Collatz Trajectory (116 steps to reach 1)

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

1,087,436 543,718 271,859 815,578 407,789 1,223,368 611,684 305,842 152,921 458,764 229,382 114,691 344,074 172,037 516,112 258,056 129,028 64,514 32,257 96,772 48,386 24,193 72,580 36,290 18,145 54,436 27,218 13,609 40,828 20,414 10,207 30,622 15,311 45,934 22,967 68,902 34,451 103,354 51,677 155,032 77,516 38,758 19,379 58,138 29,069 87,208 43,604 21,802 10,901 32,704 16,352 8,176 4,088 2,044 1,022 511 1,534 767 2,302 1,151

More profiles

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