7,754,748

2² × 3 × 53 × 89 × 137

Starting at 7,754,748, the Collatz iteration reaches 1 after 248 steps. The first transition is 3877374; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 53 × 89 × 137

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 18,779,040

Proper Divisor Sum 11,024,292

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #7754741 ← → #7754777

Radix Representation

Decimal	7754748
Binary	11101100101001111111100 (23 bits)
Octal	0o35451774
Hexadecimal	0x7653FC

Divisor Catalog (48)

1 2 3 4 6 12 53 89 106 137 159 178 212 267 274 318 356 411 534 548 636 822 1,068 1,644 4,717 7,261 9,434 12,193 14,151 14,522 18,868 21,783 24,386 28,302 29,044 36,579 43,566 48,772 56,604 73,158 87,132 146,316 646,229 1,292,458 1,938,687 2,584,916 3,877,374 7,754,748

Collatz Trajectory (248 steps to reach 1)

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

7,754,748 3,877,374 1,938,687 5,816,062 2,908,031 8,724,094 4,362,047 13,086,142 6,543,071 19,629,214 9,814,607 29,443,822 14,721,911 44,165,734 22,082,867 66,248,602 33,124,301 99,372,904 49,686,452 24,843,226 12,421,613 37,264,840 18,632,420 9,316,210 4,658,105 13,974,316 6,987,158 3,493,579 10,480,738 5,240,369 15,721,108 7,860,554 3,930,277 11,790,832 5,895,416 2,947,708 1,473,854 736,927 2,210,782 1,105,391 3,316,174 1,658,087 4,974,262 2,487,131 7,461,394 3,730,697 11,192,092 5,596,046 2,798,023 8,394,070 4,197,035 12,591,106 6,295,553 18,886,660 9,443,330 4,721,665 14,164,996 7,082,498 3,541,249 10,623,748

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