1,537,276

2² × 13 × 17 × 37 × 47

1,537,276 has the prime decomposition 2^2 × 13 × 17 × 37 × 47. Its 5 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 13 × 17 × 37 × 47

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 3,217,536

Proper Divisor Sum 1,680,260

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #1537247 ← → #1537279

Radix Representation

Decimal	1537276
Binary	101110111010011111100 (21 bits)
Octal	0o5672374
Hexadecimal	0x1774FC

Divisor Catalog (48)

1 2 4 13 17 26 34 37 47 52 68 74 94 148 188 221 442 481 611 629 799 884 962 1,222 1,258 1,598 1,739 1,924 2,444 2,516 3,196 3,478 6,956 8,177 10,387 16,354 20,774 22,607 29,563 32,708 41,548 45,214 59,126 90,428 118,252 384,319 768,638 1,537,276

Collatz Trajectory (181 steps to reach 1)

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

1,537,276 768,638 384,319 1,152,958 576,479 1,729,438 864,719 2,594,158 1,297,079 3,891,238 1,945,619 5,836,858 2,918,429 8,755,288 4,377,644 2,188,822 1,094,411 3,283,234 1,641,617 4,924,852 2,462,426 1,231,213 3,693,640 1,846,820 923,410 461,705 1,385,116 692,558 346,279 1,038,838 519,419 1,558,258 779,129 2,337,388 1,168,694 584,347 1,753,042 876,521 2,629,564 1,314,782 657,391 1,972,174 986,087 2,958,262 1,479,131 4,437,394 2,218,697 6,656,092 3,328,046 1,664,023 4,992,070 2,496,035 7,488,106 3,744,053 11,232,160 5,616,080 2,808,040 1,404,020 702,010 351,005

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