λ
Prime Ledger

1,723,036

22 × 72 × 59 × 149
Abundant Even Composite

1,723,036 has the prime decomposition 2^2 × 7^2 × 59 × 149. Its 4 distinct prime factors produce 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 7^2 × 59 × 149
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 3,591,000
Proper Divisor Sum 1,867,964
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #1723031 ← → #1723037

Radix Representation

Decimal 1723036
Binary 110100100101010011100 (21 bits)
Octal 0o6445234
Hexadecimal 0x1A4A9C

Divisor Catalog (36)

1 2 4 7 14 28 49 59 98 118 149 196 236 298 413 596 826 1,043 1,652 2,086 2,891 4,172 5,782 7,301 8,791 11,564 14,602 17,582 29,204 35,164 61,537 123,074 246,148 430,759 861,518 1,723,036

Collatz Trajectory (176 steps to reach 1)

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

1,723,036 861,518 430,759 1,292,278 646,139 1,938,418 969,209 2,907,628 1,453,814 726,907 2,180,722 1,090,361 3,271,084 1,635,542 817,771 2,453,314 1,226,657 3,679,972 1,839,986 919,993 2,759,980 1,379,990 689,995 2,069,986 1,034,993 3,104,980 1,552,490 776,245 2,328,736 1,164,368 582,184 291,092 145,546 72,773 218,320 109,160 54,580 27,290 13,645 40,936 20,468 10,234 5,117 15,352 7,676 3,838 1,919 5,758 2,879 8,638 4,319 12,958 6,479 19,438 9,719 29,158 14,579 43,738 21,869 65,608

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