1,079,552

2⁸ × 4217

1,079,552 factors as 2^8 × 4217. Its 18 positive divisors give a proper-divisor sum of 1,075,846, so this integer is deficient. The Collatz stopping time is 64 steps.

Prime Factor Structure

Factorization String 2^8 × 4217

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 2,155,398

Proper Divisor Sum 1,075,846

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #1079539 ← → #1079569

Radix Representation

Decimal	1079552
Binary	100000111100100000000 (21 bits)
Octal	0o4074400
Hexadecimal	0x107900

Divisor Catalog (18)

1 2 4 8 16 32 64 128 256 4,217 8,434 16,868 33,736 67,472 134,944 269,888 539,776 1,079,552

Collatz Trajectory (64 steps to reach 1)

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

1,079,552 539,776 269,888 134,944 67,472 33,736 16,868 8,434 4,217 12,652 6,326 3,163 9,490 4,745 14,236 7,118 3,559 10,678 5,339 16,018 8,009 24,028 12,014 6,007 18,022 9,011 27,034 13,517 40,552 20,276 10,138 5,069 15,208 7,604 3,802 1,901 5,704 2,852 1,426 713 2,140 1,070 535 1,606 803 2,410 1,205 3,616 1,808 904 452 226 113 340 170 85 256 128 64 32

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