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Atlas › Integer Profiles › Node 3,448,752

3,448,752

24 × 3 × 71849
Abundant Even Composite

3,448,752 factors as 2^4 × 3 × 71849. Its 20 positive divisors give a proper-divisor sum of 5,460,648, so this integer is abundant. The Collatz stopping time is 97 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 71849
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 8,909,400
Proper Divisor Sum 5,460,648
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3448751 ← → #3448759

Radix Representation

Decimal 3448752
Binary 1101001001111110110000 (22 bits)
Octal 0o15117660
Hexadecimal 0x349FB0

Divisor Catalog (20)

1 2 3 4 6 8 12 16 24 48 71,849 143,698 215,547 287,396 431,094 574,792 862,188 1,149,584 1,724,376 3,448,752

Collatz Trajectory (97 steps to reach 1)

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

3,448,752 1,724,376 862,188 431,094 215,547 646,642 323,321 969,964 484,982 242,491 727,474 363,737 1,091,212 545,606 272,803 818,410 409,205 1,227,616 613,808 306,904 153,452 76,726 38,363 115,090 57,545 172,636 86,318 43,159 129,478 64,739 194,218 97,109 291,328 145,664 72,832 36,416 18,208 9,104 4,552 2,276 1,138 569 1,708 854 427 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814 407 1,222 611

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