λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,691,108

3,691,108

22 × 172 × 31 × 103
Deficient Even Composite

3,691,108 factors as 2^2 × 17^2 × 31 × 103. Its 36 positive divisors give a proper-divisor sum of 3,460,764, so this integer is deficient. The Collatz stopping time is 159 steps.

Prime Factor Structure

Factorization String 2^2 × 17^2 × 31 × 103
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 7,151,872
Proper Divisor Sum 3,460,764
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #3691087 ← → #3691147

Radix Representation

Decimal 3691108
Binary 1110000101001001100100 (22 bits)
Octal 0o16051144
Hexadecimal 0x385264

Divisor Catalog (36)

1 2 4 17 31 34 62 68 103 124 206 289 412 527 578 1,054 1,156 1,751 2,108 3,193 3,502 6,386 7,004 8,959 12,772 17,918 29,767 35,836 54,281 59,534 108,562 119,068 217,124 922,777 1,845,554 3,691,108

Collatz Trajectory (159 steps to reach 1)

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

3,691,108 1,845,554 922,777 2,768,332 1,384,166 692,083 2,076,250 1,038,125 3,114,376 1,557,188 778,594 389,297 1,167,892 583,946 291,973 875,920 437,960 218,980 109,490 54,745 164,236 82,118 41,059 123,178 61,589 184,768 92,384 46,192 23,096 11,548 5,774 2,887 8,662 4,331 12,994 6,497 19,492 9,746 4,873 14,620 7,310 3,655 10,966 5,483 16,450 8,225 24,676 12,338 6,169 18,508 9,254 4,627 13,882 6,941 20,824 10,412 5,206 2,603 7,810 3,905

More profiles

Browse other published profiles and their separate link collections.

Profile #8,342,168 Profile #1,146,956 Profile #9,712,347 Profile #6,573,969 Profile #965,653 Profile #4,620,983 Profile #853,259 Profile #1,288,150
← Previous Integer #3,691,107 Browse Full Index Next Integer #3,691,109 →