λ
Match Zalai

1,512,323

1512323
Deficient Odd Prime

1,512,323 factors as 1512323. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 88 steps.

Prime Factor Structure

Factorization String 1512323
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 1,512,324
Proper Divisor Sum 1
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #1512311 ← → #1512331

Radix Representation

Decimal 1512323
Binary 101110001001110000011 (21 bits)
Octal 0o5611603
Hexadecimal 0x171383

Divisor Catalog (2)

Collatz Trajectory (88 steps to reach 1)

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

1,512,323 4,536,970 2,268,485 6,805,456 3,402,728 1,701,364 850,682 425,341 1,276,024 638,012 319,006 159,503 478,510 239,255 717,766 358,883 1,076,650 538,325 1,614,976 807,488 403,744 201,872 100,936 50,468 25,234 12,617 37,852 18,926 9,463 28,390 14,195 42,586 21,293 63,880 31,940 15,970 7,985 23,956 11,978 5,989 17,968 8,984 4,492 2,246 1,123 3,370 1,685 5,056 2,528 1,264 632 316 158 79 238 119 358 179 538 269

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