λ
Prime Ledger

4,615,792

24 × 43 × 6709
Deficient Even Composite

4,615,792 has the prime decomposition 2^4 × 43 × 6709. Its 3 distinct prime factors produce 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 43 × 6709
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 9,152,440
Proper Divisor Sum 4,536,648
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #4615783 ← → #4615817

Radix Representation

Decimal 4615792
Binary 10001100110111001110000 (23 bits)
Octal 0o21467160
Hexadecimal 0x466E70

Divisor Catalog (20)

1 2 4 8 16 43 86 172 344 688 6,709 13,418 26,836 53,672 107,344 288,487 576,974 1,153,948 2,307,896 4,615,792

Collatz Trajectory (100 steps to reach 1)

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

4,615,792 2,307,896 1,153,948 576,974 288,487 865,462 432,731 1,298,194 649,097 1,947,292 973,646 486,823 1,460,470 730,235 2,190,706 1,095,353 3,286,060 1,643,030 821,515 2,464,546 1,232,273 3,696,820 1,848,410 924,205 2,772,616 1,386,308 693,154 346,577 1,039,732 519,866 259,933 779,800 389,900 194,950 97,475 292,426 146,213 438,640 219,320 109,660 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

More profiles

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