λ
Integer Codex

755,738

2 × 179 × 2111
Deficient Even Composite

For 755,738, the 8 positive divisors have a total of 1,140,480. Removing 755,738 leaves 384,742, which gives the deficient classification.

Prime Factor Structure

Factorization String 2 × 179 × 2111
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,140,480
Proper Divisor Sum 384,742
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #755737 ← → #755759

Radix Representation

Decimal 755738
Binary 10111000100000011010 (20 bits)
Octal 0o2704032
Hexadecimal 0xB881A

Divisor Catalog (8)

1 2 179 358 2,111 4,222 377,869 755,738

Collatz Trajectory (87 steps to reach 1)

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

755,738 377,869 1,133,608 566,804 283,402 141,701 425,104 212,552 106,276 53,138 26,569 79,708 39,854 19,927 59,782 29,891 89,674 44,837 134,512 67,256 33,628 16,814 8,407 25,222 12,611 37,834 18,917 56,752 28,376 14,188 7,094 3,547 10,642 5,321 15,964 7,982 3,991 11,974 5,987 17,962 8,981 26,944 13,472 6,736 3,368 1,684 842 421 1,264 632 316 158 79 238 119 358 179 538 269 808

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