61,301,448

2³ × 3⁴ × 13 × 19 × 383

Prime Factor Structure

Factorization String 2^3 × 3^4 × 13 × 19 × 383

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 160

Divisor Sum (σ) 195,148,800

Proper Divisor Sum 133,847,352

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #61301441 ← → #61301459

Radix Representation

Decimal	61301448
Binary	11101001110110001011001000 (26 bits)
Octal	0o351661310
Hexadecimal	0x3A762C8

Divisor Catalog (60 of 160)

1 2 3 4 6 8 9 12 13 18 19 24 26 27 36 38 39 52 54 57 72 76 78 81 104 108 114 117 152 156 162 171 216 228 234 247 312 324 342 351 383 456 468 494 513 648 684 702 741 766 936 988 1,026 1,053 1,149 1,368 1,404 1,482 1,532 1,539

Collatz Trajectory (127 steps to reach 1)

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

61,301,448 30,650,724 15,325,362 7,662,681 22,988,044 11,494,022 5,747,011 17,241,034 8,620,517 25,861,552 12,930,776 6,465,388 3,232,694 1,616,347 4,849,042 2,424,521 7,273,564 3,636,782 1,818,391 5,455,174 2,727,587 8,182,762 4,091,381 12,274,144 6,137,072 3,068,536 1,534,268 767,134 383,567 1,150,702 575,351 1,726,054 863,027 2,589,082 1,294,541 3,883,624 1,941,812 970,906 485,453 1,456,360 728,180 364,090 182,045 546,136 273,068 136,534 68,267 204,802 102,401 307,204 153,602 76,801 230,404 115,202 57,601 172,804 86,402 43,201 129,604 64,802

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