λ
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Atlas › Integer Profiles › Node 9,033,472

9,033,472

28 × 7 × 712
Abundant Even Composite

Starting at 9,033,472, the Collatz iteration reaches 1 after 62 steps. The first transition is 4516736; the starting value is even with 54 positive divisors.

Prime Factor Structure

Factorization String 2^8 × 7 × 71^2
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 54
Divisor Sum (σ) 20,901,944
Proper Divisor Sum 11,868,472
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #9033467 ← → #9033491

Radix Representation

Decimal 9033472
Binary 100010011101011100000000 (24 bits)
Octal 0o42353400
Hexadecimal 0x89D700

Divisor Catalog (54)

1 2 4 7 8 14 16 28 32 56 64 71 112 128 142 224 256 284 448 497 568 896 994 1,136 1,792 1,988 2,272 3,976 4,544 5,041 7,952 9,088 10,082 15,904 18,176 20,164 31,808 35,287 40,328 63,616 70,574 80,656 127,232 141,148 161,312 282,296 322,624 564,592 645,248 1,129,184 1,290,496 2,258,368 4,516,736 9,033,472

Collatz Trajectory (62 steps to reach 1)

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

9,033,472 4,516,736 2,258,368 1,129,184 564,592 282,296 141,148 70,574 35,287 105,862 52,931 158,794 79,397 238,192 119,096 59,548 29,774 14,887 44,662 22,331 66,994 33,497 100,492 50,246 25,123 75,370 37,685 113,056 56,528 28,264 14,132 7,066 3,533 10,600 5,300 2,650 1,325 3,976 1,988 994 497 1,492 746 373 1,120 560 280 140 70 35 106 53 160 80 40 20 10 5 16 8

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