λ
Integer Codex

2,940,558

2 × 3 × 17 × 127 × 227
Abundant Even Composite

For 2,940,558, the 32 positive divisors have a total of 6,303,744. Removing 2,940,558 leaves 3,363,186, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3 × 17 × 127 × 227
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,303,744
Proper Divisor Sum 3,363,186
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #2940551 ← → #2940559

Radix Representation

Decimal 2940558
Binary 1011001101111010001110 (22 bits)
Octal 0o13157216
Hexadecimal 0x2CDE8E

Divisor Catalog (32)

1 2 3 6 17 34 51 102 127 227 254 381 454 681 762 1,362 2,159 3,859 4,318 6,477 7,718 11,577 12,954 23,154 28,829 57,658 86,487 172,974 490,093 980,186 1,470,279 2,940,558

Collatz Trajectory (94 steps to reach 1)

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

2,940,558 1,470,279 4,410,838 2,205,419 6,616,258 3,308,129 9,924,388 4,962,194 2,481,097 7,443,292 3,721,646 1,860,823 5,582,470 2,791,235 8,373,706 4,186,853 12,560,560 6,280,280 3,140,140 1,570,070 785,035 2,355,106 1,177,553 3,532,660 1,766,330 883,165 2,649,496 1,324,748 662,374 331,187 993,562 496,781 1,490,344 745,172 372,586 186,293 558,880 279,440 139,720 69,860 34,930 17,465 52,396 26,198 13,099 39,298 19,649 58,948 29,474 14,737 44,212 22,106 11,053 33,160 16,580 8,290 4,145 12,436 6,218 3,109

More profiles

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