48,752,865

3² × 5 × 7 × 37 × 47 × 89

48,752,865 factors as 3^2 × 5 × 7 × 37 × 47 × 89. Its 96 positive divisors give a proper-divisor sum of 53,682,975, so this integer is abundant. The Collatz stopping time is 274 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 7 × 37 × 47 × 89

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 102,435,840

Proper Divisor Sum 53,682,975

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #48752849 ← → #48752867

Radix Representation

Decimal	48752865
Binary	10111001111110100011100001 (26 bits)
Octal	0o271764341
Hexadecimal	0x2E7E8E1

Divisor Catalog (60 of 96)

1 3 5 7 9 15 21 35 37 45 47 63 89 105 111 141 185 235 259 267 315 329 333 423 445 555 623 705 777 801 987 1,295 1,335 1,645 1,665 1,739 1,869 2,115 2,331 2,961 3,115 3,293 3,885 4,005 4,183 4,935 5,217 5,607 8,695 9,345 9,879 11,655 12,173 12,549 14,805 15,651 16,465 20,915 23,051 26,085

Collatz Trajectory (274 steps to reach 1)

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

48,752,865 146,258,596 73,129,298 36,564,649 109,693,948 54,846,974 27,423,487 82,270,462 41,135,231 123,405,694 61,702,847 185,108,542 92,554,271 277,662,814 138,831,407 416,494,222 208,247,111 624,741,334 312,370,667 937,112,002 468,556,001 1,405,668,004 702,834,002 351,417,001 1,054,251,004 527,125,502 263,562,751 790,688,254 395,344,127 1,186,032,382 593,016,191 1,779,048,574 889,524,287 2,668,572,862 1,334,286,431 4,002,859,294 2,001,429,647 6,004,288,942 3,002,144,471 9,006,433,414 4,503,216,707 13,509,650,122 6,754,825,061 20,264,475,184 10,132,237,592 5,066,118,796 2,533,059,398 1,266,529,699 3,799,589,098 1,899,794,549 5,699,383,648 2,849,691,824 1,424,845,912 712,422,956 356,211,478 178,105,739 534,317,218 267,158,609 801,475,828 400,737,914

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