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Atlas › Integer Profiles › Node 2,829,136

2,829,136

24 × 151 × 1171
Deficient Even Composite

2,829,136 factors as 2^4 × 151 × 1171. Its 20 positive divisors give a proper-divisor sum of 2,693,328, so this integer is deficient. The Collatz stopping time is 125 steps.

Prime Factor Structure

Factorization String 2^4 × 151 × 1171
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 5,522,464
Proper Divisor Sum 2,693,328
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #2829133 ← → #2829139

Radix Representation

Decimal 2829136
Binary 1010110010101101010000 (22 bits)
Octal 0o12625520
Hexadecimal 0x2B2B50

Divisor Catalog (20)

1 2 4 8 16 151 302 604 1,171 1,208 2,342 2,416 4,684 9,368 18,736 176,821 353,642 707,284 1,414,568 2,829,136

Collatz Trajectory (125 steps to reach 1)

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

2,829,136 1,414,568 707,284 353,642 176,821 530,464 265,232 132,616 66,308 33,154 16,577 49,732 24,866 12,433 37,300 18,650 9,325 27,976 13,988 6,994 3,497 10,492 5,246 2,623 7,870 3,935 11,806 5,903 17,710 8,855 26,566 13,283 39,850 19,925 59,776 29,888 14,944 7,472 3,736 1,868 934 467 1,402 701 2,104 1,052 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502

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