λ
Ratio Atlas

1,233,393

3 × 7 × 58733
Deficient Odd Composite

1,233,393 factors as 3 × 7 × 58733. Its 8 positive divisors give a proper-divisor sum of 646,095, so this integer is deficient. The Collatz stopping time is 80 steps.

Prime Factor Structure

Factorization String 3 × 7 × 58733
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,879,488
Proper Divisor Sum 646,095
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #1233377 ← → #1233409

Radix Representation

Decimal 1233393
Binary 100101101000111110001 (21 bits)
Octal 0o4550761
Hexadecimal 0x12D1F1

Divisor Catalog (8)

1 3 7 21 58,733 176,199 411,131 1,233,393

Collatz Trajectory (80 steps to reach 1)

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

1,233,393 3,700,180 1,850,090 925,045 2,775,136 1,387,568 693,784 346,892 173,446 86,723 260,170 130,085 390,256 195,128 97,564 48,782 24,391 73,174 36,587 109,762 54,881 164,644 82,322 41,161 123,484 61,742 30,871 92,614 46,307 138,922 69,461 208,384 104,192 52,096 26,048 13,024 6,512 3,256 1,628 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148 74 37

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