λ
Prime Ledger

9,721,726

2 × 7 × 694409
Deficient Even Composite

9,721,726 has the prime decomposition 2 × 7 × 694409. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 694409
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 16,665,840
Proper Divisor Sum 6,944,114
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #9721721 ← → #9721727

Radix Representation

Decimal 9721726
Binary 100101000101011101111110 (24 bits)
Octal 0o45053576
Hexadecimal 0x94577E

Divisor Catalog (8)

1 2 7 14 694,409 1,388,818 4,860,863 9,721,726

Collatz Trajectory (194 steps to reach 1)

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

9,721,726 4,860,863 14,582,590 7,291,295 21,873,886 10,936,943 32,810,830 16,405,415 49,216,246 24,608,123 73,824,370 36,912,185 110,736,556 55,368,278 27,684,139 83,052,418 41,526,209 124,578,628 62,289,314 31,144,657 93,433,972 46,716,986 23,358,493 70,075,480 35,037,740 17,518,870 8,759,435 26,278,306 13,139,153 39,417,460 19,708,730 9,854,365 29,563,096 14,781,548 7,390,774 3,695,387 11,086,162 5,543,081 16,629,244 8,314,622 4,157,311 12,471,934 6,235,967 18,707,902 9,353,951 28,061,854 14,030,927 42,092,782 21,046,391 63,139,174 31,569,587 94,708,762 47,354,381 142,063,144 71,031,572 35,515,786 17,757,893 53,273,680 26,636,840 13,318,420

More profiles

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