33,124,808

2³ × 761 × 5441

33,124,808 factors as 2^3 × 761 × 5441. Its 16 positive divisors give a proper-divisor sum of 29,077,252, so this integer is deficient. The Collatz stopping time is 157 steps.

Prime Factor Structure

Factorization String 2^3 × 761 × 5441

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 62,202,060

Proper Divisor Sum 29,077,252

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #33124799 ← → #33124811

Radix Representation

Decimal	33124808
Binary	1111110010111000111001000 (25 bits)
Octal	0o176270710
Hexadecimal	0x1F971C8

Divisor Catalog (16)

1 2 4 8 761 1,522 3,044 5,441 6,088 10,882 21,764 43,528 4,140,601 8,281,202 16,562,404 33,124,808

Collatz Trajectory (157 steps to reach 1)

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

33,124,808 16,562,404 8,281,202 4,140,601 12,421,804 6,210,902 3,105,451 9,316,354 4,658,177 13,974,532 6,987,266 3,493,633 10,480,900 5,240,450 2,620,225 7,860,676 3,930,338 1,965,169 5,895,508 2,947,754 1,473,877 4,421,632 2,210,816 1,105,408 552,704 276,352 138,176 69,088 34,544 17,272 8,636 4,318 2,159 6,478 3,239 9,718 4,859 14,578 7,289 21,868 10,934 5,467 16,402 8,201 24,604 12,302 6,151 18,454 9,227 27,682 13,841 41,524 20,762 10,381 31,144 15,572 7,786 3,893 11,680 5,840

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