λ
Ratio Atlas
Atlas › Integer Profiles › Node 277,680

277,680

24 × 3 × 5 × 13 × 89
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 13 × 89
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 937,440
Proper Divisor Sum 659,760
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #277663 ← → #277687

Radix Representation

Decimal 277680
Binary 1000011110010110000 (19 bits)
Octal 0o1036260
Hexadecimal 0x43CB0

Divisor Catalog (60 of 80)

1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 89 104 120 130 156 178 195 208 240 260 267 312 356 390 445 520 534 624 712 780 890 1,040 1,068 1,157 1,335 1,424 1,560 1,780 2,136 2,314 2,670 3,120 3,471 3,560 4,272 4,628

Collatz Trajectory (145 steps to reach 1)

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

277,680 138,840 69,420 34,710 17,355 52,066 26,033 78,100 39,050 19,525 58,576 29,288 14,644 7,322 3,661 10,984 5,492 2,746 1,373 4,120 2,060 1,030 515 1,546 773 2,320 1,160 580 290 145 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310

More profiles

Browse other published profiles and their separate link collections.

Profile #1,448,561 Profile #6,970,568 Profile #2,947,453 Profile #906,051 Profile #1,285,993 Profile #7,584,379 Profile #4,761,186 Profile #626,174
← Previous Integer #277,679 Browse Full Index Next Integer #277,681 →