λ
Ratio Atlas
Atlas › Integer Profiles › Node 30,008,288

30,008,288

25 × 683 × 1373
Deficient Even Composite

30,008,288 factors as 2^5 × 683 × 1373. Its 24 positive divisors give a proper-divisor sum of 29,200,120, so this integer is deficient. The Collatz stopping time is 224 steps.

Prime Factor Structure

Factorization String 2^5 × 683 × 1373
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 59,208,408
Proper Divisor Sum 29,200,120
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #30008273 ← → #30008299

Radix Representation

Decimal 30008288
Binary 1110010011110001111100000 (25 bits)
Octal 0o162361740
Hexadecimal 0x1C9E3E0

Divisor Catalog (24)

1 2 4 8 16 32 683 1,366 1,373 2,732 2,746 5,464 5,492 10,928 10,984 21,856 21,968 43,936 937,759 1,875,518 3,751,036 7,502,072 15,004,144 30,008,288

Collatz Trajectory (224 steps to reach 1)

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

30,008,288 15,004,144 7,502,072 3,751,036 1,875,518 937,759 2,813,278 1,406,639 4,219,918 2,109,959 6,329,878 3,164,939 9,494,818 4,747,409 14,242,228 7,121,114 3,560,557 10,681,672 5,340,836 2,670,418 1,335,209 4,005,628 2,002,814 1,001,407 3,004,222 1,502,111 4,506,334 2,253,167 6,759,502 3,379,751 10,139,254 5,069,627 15,208,882 7,604,441 22,813,324 11,406,662 5,703,331 17,109,994 8,554,997 25,664,992 12,832,496 6,416,248 3,208,124 1,604,062 802,031 2,406,094 1,203,047 3,609,142 1,804,571 5,413,714 2,706,857 8,120,572 4,060,286 2,030,143 6,090,430 3,045,215 9,135,646 4,567,823 13,703,470 6,851,735

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #30,008,287 Browse Full Index Next Integer #30,008,289 →