7,419,737

13 × 29 × 19681

Starting at 7,419,737, the Collatz iteration reaches 1 after 111 steps. The first transition is 22259212; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 13 × 29 × 19681

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 8,266,440

Proper Divisor Sum 846,703

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #7419719 ← → #7419743

Radix Representation

Decimal	7419737
Binary	11100010011011101011001 (23 bits)
Octal	0o34233531
Hexadecimal	0x713759

Divisor Catalog (8)

1 13 29 377 19,681 255,853 570,749 7,419,737

Collatz Trajectory (111 steps to reach 1)

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

7,419,737 22,259,212 11,129,606 5,564,803 16,694,410 8,347,205 25,041,616 12,520,808 6,260,404 3,130,202 1,565,101 4,695,304 2,347,652 1,173,826 586,913 1,760,740 880,370 440,185 1,320,556 660,278 330,139 990,418 495,209 1,485,628 742,814 371,407 1,114,222 557,111 1,671,334 835,667 2,507,002 1,253,501 3,760,504 1,880,252 940,126 470,063 1,410,190 705,095 2,115,286 1,057,643 3,172,930 1,586,465 4,759,396 2,379,698 1,189,849 3,569,548 1,784,774 892,387 2,677,162 1,338,581 4,015,744 2,007,872 1,003,936 501,968 250,984 125,492 62,746 31,373 94,120 47,060

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