λ
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2,121,175

52 × 7 × 17 × 23 × 31
Deficient Odd Composite

2,121,175 factors as 5^2 × 7 × 17 × 23 × 31. Its 48 positive divisors give a proper-divisor sum of 1,307,177, so this integer is deficient. The Collatz stopping time is 122 steps.

Prime Factor Structure

Factorization String 5^2 × 7 × 17 × 23 × 31
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 3,428,352
Proper Divisor Sum 1,307,177
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #2121167 ← → #2121181

Radix Representation

Decimal 2121175
Binary 1000000101110111010111 (22 bits)
Octal 0o10056727
Hexadecimal 0x205DD7

Divisor Catalog (48)

1 5 7 17 23 25 31 35 85 115 119 155 161 175 217 391 425 527 575 595 713 775 805 1,085 1,955 2,635 2,737 2,975 3,565 3,689 4,025 4,991 5,425 9,775 12,121 13,175 13,685 17,825 18,445 24,955 60,605 68,425 84,847 92,225 124,775 303,025 424,235 2,121,175

Collatz Trajectory (122 steps to reach 1)

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

2,121,175 6,363,526 3,181,763 9,545,290 4,772,645 14,317,936 7,158,968 3,579,484 1,789,742 894,871 2,684,614 1,342,307 4,026,922 2,013,461 6,040,384 3,020,192 1,510,096 755,048 377,524 188,762 94,381 283,144 141,572 70,786 35,393 106,180 53,090 26,545 79,636 39,818 19,909 59,728 29,864 14,932 7,466 3,733 11,200 5,600 2,800 1,400 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377

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