λ
Prime Ledger

1,103,625

34 × 53 × 109
Deficient Odd Composite

1,103,625 has the prime decomposition 3^4 × 5^3 × 109. Its 3 distinct prime factors produce 40 positive divisors.

Prime Factor Structure

Factorization String 3^4 × 5^3 × 109
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 2,076,360
Proper Divisor Sum 972,735
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #1103621 ← → #1103629

Radix Representation

Decimal 1103625
Binary 100001101011100001001 (21 bits)
Octal 0o4153411
Hexadecimal 0x10D709

Divisor Catalog (40)

1 3 5 9 15 25 27 45 75 81 109 125 135 225 327 375 405 545 675 981 1,125 1,635 2,025 2,725 2,943 3,375 4,905 8,175 8,829 10,125 13,625 14,715 24,525 40,875 44,145 73,575 122,625 220,725 367,875 1,103,625

Collatz Trajectory (191 steps to reach 1)

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

1,103,625 3,310,876 1,655,438 827,719 2,483,158 1,241,579 3,724,738 1,862,369 5,587,108 2,793,554 1,396,777 4,190,332 2,095,166 1,047,583 3,142,750 1,571,375 4,714,126 2,357,063 7,071,190 3,535,595 10,606,786 5,303,393 15,910,180 7,955,090 3,977,545 11,932,636 5,966,318 2,983,159 8,949,478 4,474,739 13,424,218 6,712,109 20,136,328 10,068,164 5,034,082 2,517,041 7,551,124 3,775,562 1,887,781 5,663,344 2,831,672 1,415,836 707,918 353,959 1,061,878 530,939 1,592,818 796,409 2,389,228 1,194,614 597,307 1,791,922 895,961 2,687,884 1,343,942 671,971 2,015,914 1,007,957 3,023,872 1,511,936

More profiles

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