λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,676,416

3,676,416

28 × 3 × 4787
Abundant Even Composite

3,676,416 factors as 2^8 × 3 × 4787. Its 36 positive divisors give a proper-divisor sum of 6,110,256, so this integer is abundant. The Collatz stopping time is 159 steps.

Prime Factor Structure

Factorization String 2^8 × 3 × 4787
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 9,786,672
Proper Divisor Sum 6,110,256
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3676399 ← → #3676433

Radix Representation

Decimal 3676416
Binary 1110000001100100000000 (22 bits)
Octal 0o16014400
Hexadecimal 0x381900

Divisor Catalog (36)

1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 4,787 9,574 14,361 19,148 28,722 38,296 57,444 76,592 114,888 153,184 229,776 306,368 459,552 612,736 919,104 1,225,472 1,838,208 3,676,416

Collatz Trajectory (159 steps to reach 1)

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

3,676,416 1,838,208 919,104 459,552 229,776 114,888 57,444 28,722 14,361 43,084 21,542 10,771 32,314 16,157 48,472 24,236 12,118 6,059 18,178 9,089 27,268 13,634 6,817 20,452 10,226 5,113 15,340 7,670 3,835 11,506 5,753 17,260 8,630 4,315 12,946 6,473 19,420 9,710 4,855 14,566 7,283 21,850 10,925 32,776 16,388 8,194 4,097 12,292 6,146 3,073 9,220 4,610 2,305 6,916 3,458 1,729 5,188 2,594 1,297 3,892

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #3,676,415 Browse Full Index Next Integer #3,676,417 →