7,100,401

7 × 11² × 83 × 101

Starting at 7,100,401, the Collatz iteration reaches 1 after 173 steps. The first transition is 21301204; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 7 × 11^2 × 83 × 101

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 9,116,352

Proper Divisor Sum 2,015,951

Digit Sum / Digital Root 13 (Root: 4)

Adjacent Primes #7100383 ← → #7100419

Radix Representation

Decimal	7100401
Binary	11011000101011111110001 (23 bits)
Octal	0o33053761
Hexadecimal	0x6C57F1

Divisor Catalog (24)

1 7 11 77 83 101 121 581 707 847 913 1,111 6,391 7,777 8,383 10,043 12,221 58,681 70,301 85,547 92,213 645,491 1,014,343 7,100,401

Collatz Trajectory (173 steps to reach 1)

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

7,100,401 21,301,204 10,650,602 5,325,301 15,975,904 7,987,952 3,993,976 1,996,988 998,494 499,247 1,497,742 748,871 2,246,614 1,123,307 3,369,922 1,684,961 5,054,884 2,527,442 1,263,721 3,791,164 1,895,582 947,791 2,843,374 1,421,687 4,265,062 2,132,531 6,397,594 3,198,797 9,596,392 4,798,196 2,399,098 1,199,549 3,598,648 1,799,324 899,662 449,831 1,349,494 674,747 2,024,242 1,012,121 3,036,364 1,518,182 759,091 2,277,274 1,138,637 3,415,912 1,707,956 853,978 426,989 1,280,968 640,484 320,242 160,121 480,364 240,182 120,091 360,274 180,137 540,412 270,206

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