λ
Prime Ledger

1,298,140

22 × 5 × 47 × 1381
Abundant Even Composite

1,298,140 has the prime decomposition 2^2 × 5 × 47 × 1381. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 47 × 1381
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 2,786,112
Proper Divisor Sum 1,487,972
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #1298131 ← → #1298149

Radix Representation

Decimal 1298140
Binary 100111100111011011100 (21 bits)
Octal 0o4747334
Hexadecimal 0x13CEDC

Divisor Catalog (24)

1 2 4 5 10 20 47 94 188 235 470 940 1,381 2,762 5,524 6,905 13,810 27,620 64,907 129,814 259,628 324,535 649,070 1,298,140

Collatz Trajectory (93 steps to reach 1)

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

1,298,140 649,070 324,535 973,606 486,803 1,460,410 730,205 2,190,616 1,095,308 547,654 273,827 821,482 410,741 1,232,224 616,112 308,056 154,028 77,014 38,507 115,522 57,761 173,284 86,642 43,321 129,964 64,982 32,491 97,474 48,737 146,212 73,106 36,553 109,660 54,830 27,415 82,246 41,123 123,370 61,685 185,056 92,528 46,264 23,132 11,566 5,783 17,350 8,675 26,026 13,013 39,040 19,520 9,760 4,880 2,440 1,220 610 305 916 458 229

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