7,654,948

2² × 7 × 19 × 14389

Starting at 7,654,948, the Collatz iteration reaches 1 after 124 steps. The first transition is 3827474; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 7 × 19 × 14389

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 16,116,800

Proper Divisor Sum 8,461,852

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #7654939 ← → #7654973

Radix Representation

Decimal	7654948
Binary	11101001100111000100100 (23 bits)
Octal	0o35147044
Hexadecimal	0x74CE24

Divisor Catalog (24)

1 2 4 7 14 19 28 38 76 133 266 532 14,389 28,778 57,556 100,723 201,446 273,391 402,892 546,782 1,093,564 1,913,737 3,827,474 7,654,948

Collatz Trajectory (124 steps to reach 1)

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

7,654,948 3,827,474 1,913,737 5,741,212 2,870,606 1,435,303 4,305,910 2,152,955 6,458,866 3,229,433 9,688,300 4,844,150 2,422,075 7,266,226 3,633,113 10,899,340 5,449,670 2,724,835 8,174,506 4,087,253 12,261,760 6,130,880 3,065,440 1,532,720 766,360 383,180 191,590 95,795 287,386 143,693 431,080 215,540 107,770 53,885 161,656 80,828 40,414 20,207 60,622 30,311 90,934 45,467 136,402 68,201 204,604 102,302 51,151 153,454 76,727 230,182 115,091 345,274 172,637 517,912 258,956 129,478 64,739 194,218 97,109 291,328

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