135,072

2⁵ × 3² × 7 × 67

Prime Factor Structure

Factorization String 2^5 × 3^2 × 7 × 67

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 445,536

Proper Divisor Sum 310,464

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #135059 ← → #135077

Radix Representation

Decimal	135072
Binary	100000111110100000 (18 bits)
Octal	0o407640
Hexadecimal	0x20FA0

Divisor Catalog (60 of 72)

1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 67 72 84 96 112 126 134 144 168 201 224 252 268 288 336 402 469 504 536 603 672 804 938 1,008 1,072 1,206 1,407 1,608 1,876 2,016 2,144 2,412 2,814 3,216 3,752 4,221 4,824 5,628 6,432

Collatz Trajectory (175 steps to reach 1)

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

135,072 67,536 33,768 16,884 8,442 4,221 12,664 6,332 3,166 1,583 4,750 2,375 7,126 3,563 10,690 5,345 16,036 8,018 4,009 12,028 6,014 3,007 9,022 4,511 13,534 6,767 20,302 10,151 30,454 15,227 45,682 22,841 68,524 34,262 17,131 51,394 25,697 77,092 38,546 19,273 57,820 28,910 14,455 43,366 21,683 65,050 32,525 97,576 48,788 24,394 12,197 36,592 18,296 9,148 4,574 2,287 6,862 3,431 10,294 5,147

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #135,071 Browse Full Index Next Integer #135,073 →