λ
Harmonic Matrix

1,178,113

1178113
Deficient Odd Prime

1,178,113 has digital root 4. The neighboring primes are 1178101 and 1178123; its proper-divisor sum differs from the starting integer by -1,178,112.

Prime Factor Structure

Factorization String 1178113
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 1,178,114
Proper Divisor Sum 1
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #1178101 ← → #1178123

Radix Representation

Decimal 1178113
Binary 100011111101000000001 (21 bits)
Octal 0o4375001
Hexadecimal 0x11FA01

Divisor Catalog (2)

Collatz Trajectory (129 steps to reach 1)

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

1,178,113 3,534,340 1,767,170 883,585 2,650,756 1,325,378 662,689 1,988,068 994,034 497,017 1,491,052 745,526 372,763 1,118,290 559,145 1,677,436 838,718 419,359 1,258,078 629,039 1,887,118 943,559 2,830,678 1,415,339 4,246,018 2,123,009 6,369,028 3,184,514 1,592,257 4,776,772 2,388,386 1,194,193 3,582,580 1,791,290 895,645 2,686,936 1,343,468 671,734 335,867 1,007,602 503,801 1,511,404 755,702 377,851 1,133,554 566,777 1,700,332 850,166 425,083 1,275,250 637,625 1,912,876 956,438 478,219 1,434,658 717,329 2,151,988 1,075,994 537,997 1,613,992

More profiles

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