λ
Integer Codex

988,363

17 × 47 × 1237
Deficient Odd Composite

For 988,363, the 8 positive divisors have a total of 1,069,632. Removing 988,363 leaves 81,269, which gives the deficient classification.

Prime Factor Structure

Factorization String 17 × 47 × 1237
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,069,632
Proper Divisor Sum 81,269
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #988357 ← → #988367

Radix Representation

Decimal 988363
Binary 11110001010011001011 (20 bits)
Octal 0o3612313
Hexadecimal 0xF14CB

Divisor Catalog (8)

1 17 47 799 1,237 21,029 58,139 988,363

Collatz Trajectory (121 steps to reach 1)

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

988,363 2,965,090 1,482,545 4,447,636 2,223,818 1,111,909 3,335,728 1,667,864 833,932 416,966 208,483 625,450 312,725 938,176 469,088 234,544 117,272 58,636 29,318 14,659 43,978 21,989 65,968 32,984 16,492 8,246 4,123 12,370 6,185 18,556 9,278 4,639 13,918 6,959 20,878 10,439 31,318 15,659 46,978 23,489 70,468 35,234 17,617 52,852 26,426 13,213 39,640 19,820 9,910 4,955 14,866 7,433 22,300 11,150 5,575 16,726 8,363 25,090 12,545 37,636

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