2,963,073

3 × 31 × 151 × 211

2,963,073 factors as 3 × 31 × 151 × 211. Its 16 positive divisors give a proper-divisor sum of 1,161,599, so this integer is deficient. The Collatz stopping time is 288 steps.

Prime Factor Structure

Factorization String 3 × 31 × 151 × 211

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 4,124,672

Proper Divisor Sum 1,161,599

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #2963047 ← → #2963101

Radix Representation

Decimal	2963073
Binary	1011010011011010000001 (22 bits)
Octal	0o13233201
Hexadecimal	0x2D3681

Divisor Catalog (16)

1 3 31 93 151 211 453 633 4,681 6,541 14,043 19,623 31,861 95,583 987,691 2,963,073

Collatz Trajectory (288 steps to reach 1)

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

2,963,073 8,889,220 4,444,610 2,222,305 6,666,916 3,333,458 1,666,729 5,000,188 2,500,094 1,250,047 3,750,142 1,875,071 5,625,214 2,812,607 8,437,822 4,218,911 12,656,734 6,328,367 18,985,102 9,492,551 28,477,654 14,238,827 42,716,482 21,358,241 64,074,724 32,037,362 16,018,681 48,056,044 24,028,022 12,014,011 36,042,034 18,021,017 54,063,052 27,031,526 13,515,763 40,547,290 20,273,645 60,820,936 30,410,468 15,205,234 7,602,617 22,807,852 11,403,926 5,701,963 17,105,890 8,552,945 25,658,836 12,829,418 6,414,709 19,244,128 9,622,064 4,811,032 2,405,516 1,202,758 601,379 1,804,138 902,069 2,706,208 1,353,104 676,552

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