32,846,308

2² × 11 × 746507

32,846,308 factors as 2^2 × 11 × 746507. Its 12 positive divisors give a proper-divisor sum of 29,860,364, so this integer is deficient. The Collatz stopping time is 113 steps.

Prime Factor Structure

Factorization String 2^2 × 11 × 746507

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 62,706,672

Proper Divisor Sum 29,860,364

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #32846263 ← → #32846351

Radix Representation

Decimal	32846308
Binary	1111101010011000111100100 (25 bits)
Octal	0o175230744
Hexadecimal	0x1F531E4

Divisor Catalog (12)

1 2 4 11 22 44 746,507 1,493,014 2,986,028 8,211,577 16,423,154 32,846,308

Collatz Trajectory (113 steps to reach 1)

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

32,846,308 16,423,154 8,211,577 24,634,732 12,317,366 6,158,683 18,476,050 9,238,025 27,714,076 13,857,038 6,928,519 20,785,558 10,392,779 31,178,338 15,589,169 46,767,508 23,383,754 11,691,877 35,075,632 17,537,816 8,768,908 4,384,454 2,192,227 6,576,682 3,288,341 9,865,024 4,932,512 2,466,256 1,233,128 616,564 308,282 154,141 462,424 231,212 115,606 57,803 173,410 86,705 260,116 130,058 65,029 195,088 97,544 48,772 24,386 12,193 36,580 18,290 9,145 27,436 13,718 6,859 20,578 10,289 30,868 15,434 7,717 23,152 11,576 5,788

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