λ
Prime Ledger

1,229,152

25 × 71 × 541
Abundant Even Composite

1,229,152 has the prime decomposition 2^5 × 71 × 541. Its 3 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 71 × 541
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 2,458,512
Proper Divisor Sum 1,229,360
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #1229149 ← → #1229159

Radix Representation

Decimal 1229152
Binary 100101100000101100000 (21 bits)
Octal 0o4540540
Hexadecimal 0x12C160

Divisor Catalog (24)

1 2 4 8 16 32 71 142 284 541 568 1,082 1,136 2,164 2,272 4,328 8,656 17,312 38,411 76,822 153,644 307,288 614,576 1,229,152

Collatz Trajectory (173 steps to reach 1)

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

1,229,152 614,576 307,288 153,644 76,822 38,411 115,234 57,617 172,852 86,426 43,213 129,640 64,820 32,410 16,205 48,616 24,308 12,154 6,077 18,232 9,116 4,558 2,279 6,838 3,419 10,258 5,129 15,388 7,694 3,847 11,542 5,771 17,314 8,657 25,972 12,986 6,493 19,480 9,740 4,870 2,435 7,306 3,653 10,960 5,480 2,740 1,370 685 2,056 1,028 514 257 772 386 193 580 290 145 436 218

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