λ
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3,548,896

25 × 13 × 19 × 449
Abundant Even Composite

3,548,896 factors as 2^5 × 13 × 19 × 449. Its 48 positive divisors give a proper-divisor sum of 4,389,104, so this integer is abundant. The Collatz stopping time is 159 steps.

Prime Factor Structure

Factorization String 2^5 × 13 × 19 × 449
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 7,938,000
Proper Divisor Sum 4,389,104
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #3548891 ← → #3548899

Radix Representation

Decimal 3548896
Binary 1101100010011011100000 (22 bits)
Octal 0o15423340
Hexadecimal 0x3626E0

Divisor Catalog (48)

1 2 4 8 13 16 19 26 32 38 52 76 104 152 208 247 304 416 449 494 608 898 988 1,796 1,976 3,592 3,952 5,837 7,184 7,904 8,531 11,674 14,368 17,062 23,348 34,124 46,696 68,248 93,392 110,903 136,496 186,784 221,806 272,992 443,612 887,224 1,774,448 3,548,896

Collatz Trajectory (159 steps to reach 1)

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

3,548,896 1,774,448 887,224 443,612 221,806 110,903 332,710 166,355 499,066 249,533 748,600 374,300 187,150 93,575 280,726 140,363 421,090 210,545 631,636 315,818 157,909 473,728 236,864 118,432 59,216 29,608 14,804 7,402 3,701 11,104 5,552 2,776 1,388 694 347 1,042 521 1,564 782 391 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248 124 62 31 94 47 142 71 214 107

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