λ
Sigma Notebook

137,913

3 × 45971
Deficient Odd Composite

137,913 is odd and not a perfect square. Its factorization is 3 × 45971 and its 4 divisors sum to 183,888.

Prime Factor Structure

Factorization String 3 × 45971
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 183,888
Proper Divisor Sum 45,975
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #137911 ← → #137927

Radix Representation

Decimal 137913
Binary 100001101010111001 (18 bits)
Octal 0o415271
Hexadecimal 0x21AB9

Divisor Catalog (4)

1 3 45,971 137,913

Collatz Trajectory (144 steps to reach 1)

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

137,913 413,740 206,870 103,435 310,306 155,153 465,460 232,730 116,365 349,096 174,548 87,274 43,637 130,912 65,456 32,728 16,364 8,182 4,091 12,274 6,137 18,412 9,206 4,603 13,810 6,905 20,716 10,358 5,179 15,538 7,769 23,308 11,654 5,827 17,482 8,741 26,224 13,112 6,556 3,278 1,639 4,918 2,459 7,378 3,689 11,068 5,534 2,767 8,302 4,151 12,454 6,227 18,682 9,341 28,024 14,012 7,006 3,503 10,510 5,255

More profiles

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