137,063

41 × 3343

137,063 has digital root 2. The neighboring primes are 137029 and 137077; its proper-divisor sum differs from the starting integer by -133,678.

Prime Factor Structure

Factorization String 41 × 3343

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 140,448

Proper Divisor Sum 3,385

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #137029 ← → #137077

Radix Representation

Decimal	137063
Binary	100001011101100111 (18 bits)
Octal	0o413547
Hexadecimal	0x21767

Divisor Catalog (4)

1 41 3,343 137,063

Collatz Trajectory (113 steps to reach 1)

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

137,063 411,190 205,595 616,786 308,393 925,180 462,590 231,295 693,886 346,943 1,040,830 520,415 1,561,246 780,623 2,341,870 1,170,935 3,512,806 1,756,403 5,269,210 2,634,605 7,903,816 3,951,908 1,975,954 987,977 2,963,932 1,481,966 740,983 2,222,950 1,111,475 3,334,426 1,667,213 5,001,640 2,500,820 1,250,410 625,205 1,875,616 937,808 468,904 234,452 117,226 58,613 175,840 87,920 43,960 21,980 10,990 5,495 16,486 8,243 24,730 12,365 37,096 18,548 9,274 4,637 13,912 6,956 3,478 1,739 5,218

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