λ
Prime Ledger

4,762,788

22 × 3 × 17 × 37 × 631
Abundant Even Composite

4,762,788 has the prime decomposition 2^2 × 3 × 17 × 37 × 631. Its 5 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 17 × 37 × 631
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 12,104,064
Proper Divisor Sum 7,341,276
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #4762783 ← → #4762799

Radix Representation

Decimal 4762788
Binary 10010001010110010100100 (23 bits)
Octal 0o22126244
Hexadecimal 0x48ACA4

Divisor Catalog (48)

1 2 3 4 6 12 17 34 37 51 68 74 102 111 148 204 222 444 629 631 1,258 1,262 1,887 1,893 2,516 2,524 3,774 3,786 7,548 7,572 10,727 21,454 23,347 32,181 42,908 46,694 64,362 70,041 93,388 128,724 140,082 280,164 396,899 793,798 1,190,697 1,587,596 2,381,394 4,762,788

Collatz Trajectory (162 steps to reach 1)

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

4,762,788 2,381,394 1,190,697 3,572,092 1,786,046 893,023 2,679,070 1,339,535 4,018,606 2,009,303 6,027,910 3,013,955 9,041,866 4,520,933 13,562,800 6,781,400 3,390,700 1,695,350 847,675 2,543,026 1,271,513 3,814,540 1,907,270 953,635 2,860,906 1,430,453 4,291,360 2,145,680 1,072,840 536,420 268,210 134,105 402,316 201,158 100,579 301,738 150,869 452,608 226,304 113,152 56,576 28,288 14,144 7,072 3,536 1,768 884 442 221 664 332 166 83 250 125 376 188 94 47 142

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