7,955,784

2³ × 3² × 47 × 2351

Starting at 7,955,784, the Collatz iteration reaches 1 after 124 steps. The first transition is 3977892; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 47 × 2351

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 22,014,720

Proper Divisor Sum 14,058,936

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #7955767 ← → #7955789

Radix Representation

Decimal	7955784
Binary	11110010110010101001000 (23 bits)
Octal	0o36262510
Hexadecimal	0x796548

Divisor Catalog (48)

1 2 3 4 6 8 9 12 18 24 36 47 72 94 141 188 282 376 423 564 846 1,128 1,692 2,351 3,384 4,702 7,053 9,404 14,106 18,808 21,159 28,212 42,318 56,424 84,636 110,497 169,272 220,994 331,491 441,988 662,982 883,976 994,473 1,325,964 1,988,946 2,651,928 3,977,892 7,955,784

Collatz Trajectory (124 steps to reach 1)

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

7,955,784 3,977,892 1,988,946 994,473 2,983,420 1,491,710 745,855 2,237,566 1,118,783 3,356,350 1,678,175 5,034,526 2,517,263 7,551,790 3,775,895 11,327,686 5,663,843 16,991,530 8,495,765 25,487,296 12,743,648 6,371,824 3,185,912 1,592,956 796,478 398,239 1,194,718 597,359 1,792,078 896,039 2,688,118 1,344,059 4,032,178 2,016,089 6,048,268 3,024,134 1,512,067 4,536,202 2,268,101 6,804,304 3,402,152 1,701,076 850,538 425,269 1,275,808 637,904 318,952 159,476 79,738 39,869 119,608 59,804 29,902 14,951 44,854 22,427 67,282 33,641 100,924 50,462

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