2,832,063

3 × 13 × 72617

2,832,063 factors as 3 × 13 × 72617. Its 8 positive divisors give a proper-divisor sum of 1,234,545, so this integer is deficient. The Collatz stopping time is 107 steps.

Prime Factor Structure

Factorization String 3 × 13 × 72617

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 4,066,608

Proper Divisor Sum 1,234,545

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #2832041 ← → #2832073

Radix Representation

Decimal	2832063
Binary	1010110011011010111111 (22 bits)
Octal	0o12633277
Hexadecimal	0x2B36BF

Divisor Catalog (8)

1 3 13 39 72,617 217,851 944,021 2,832,063

Collatz Trajectory (107 steps to reach 1)

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

2,832,063 8,496,190 4,248,095 12,744,286 6,372,143 19,116,430 9,558,215 28,674,646 14,337,323 43,011,970 21,505,985 64,517,956 32,258,978 16,129,489 48,388,468 24,194,234 12,097,117 36,291,352 18,145,676 9,072,838 4,536,419 13,609,258 6,804,629 20,413,888 10,206,944 5,103,472 2,551,736 1,275,868 637,934 318,967 956,902 478,451 1,435,354 717,677 2,153,032 1,076,516 538,258 269,129 807,388 403,694 201,847 605,542 302,771 908,314 454,157 1,362,472 681,236 340,618 170,309 510,928 255,464 127,732 63,866 31,933 95,800 47,900 23,950 11,975 35,926 17,963

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