λ
Math Directory

5,703,308

22 × 13 × 67 × 1637
Deficient Even Composite

5,703,308 factors as 2^2 × 13 × 67 × 1637. Its 24 positive divisors give a proper-divisor sum of 5,212,324, so this integer is deficient. The Collatz stopping time is 152 steps.

Prime Factor Structure

Factorization String 2^2 × 13 × 67 × 1637
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 10,915,632
Proper Divisor Sum 5,212,324
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #5703307 ← → #5703311

Radix Representation

Decimal 5703308
Binary 10101110000011010001100 (23 bits)
Octal 0o25603214
Hexadecimal 0x57068C

Divisor Catalog (24)

1 2 4 13 26 52 67 134 268 871 1,637 1,742 3,274 3,484 6,548 21,281 42,562 85,124 109,679 219,358 438,716 1,425,827 2,851,654 5,703,308

Collatz Trajectory (152 steps to reach 1)

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

5,703,308 2,851,654 1,425,827 4,277,482 2,138,741 6,416,224 3,208,112 1,604,056 802,028 401,014 200,507 601,522 300,761 902,284 451,142 225,571 676,714 338,357 1,015,072 507,536 253,768 126,884 63,442 31,721 95,164 47,582 23,791 71,374 35,687 107,062 53,531 160,594 80,297 240,892 120,446 60,223 180,670 90,335 271,006 135,503 406,510 203,255 609,766 304,883 914,650 457,325 1,371,976 685,988 342,994 171,497 514,492 257,246 128,623 385,870 192,935 578,806 289,403 868,210 434,105 1,302,316

More profiles

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