7,726,972

2² × 11 × 151 × 1163

Starting at 7,726,972, the Collatz iteration reaches 1 after 230 steps. The first transition is 3863486; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 11 × 151 × 1163

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 14,861,952

Proper Divisor Sum 7,134,980

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #7726933 ← → #7726973

Radix Representation

Decimal	7726972
Binary	11101011110011101111100 (23 bits)
Octal	0o35363574
Hexadecimal	0x75E77C

Divisor Catalog (24)

1 2 4 11 22 44 151 302 604 1,163 1,661 2,326 3,322 4,652 6,644 12,793 25,586 51,172 175,613 351,226 702,452 1,931,743 3,863,486 7,726,972

Collatz Trajectory (230 steps to reach 1)

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

7,726,972 3,863,486 1,931,743 5,795,230 2,897,615 8,692,846 4,346,423 13,039,270 6,519,635 19,558,906 9,779,453 29,338,360 14,669,180 7,334,590 3,667,295 11,001,886 5,500,943 16,502,830 8,251,415 24,754,246 12,377,123 37,131,370 18,565,685 55,697,056 27,848,528 13,924,264 6,962,132 3,481,066 1,740,533 5,221,600 2,610,800 1,305,400 652,700 326,350 163,175 489,526 244,763 734,290 367,145 1,101,436 550,718 275,359 826,078 413,039 1,239,118 619,559 1,858,678 929,339 2,788,018 1,394,009 4,182,028 2,091,014 1,045,507 3,136,522 1,568,261 4,704,784 2,352,392 1,176,196 588,098 294,049

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